Centrality Zoo lookup
Source:vignettes/articles/centrality-zoo-lookup.Rmd
centrality-zoo-lookup.RmdThe Centrality Zoo
(Shvydun, 2025, Zoo of Centralities: Encyclopedia of Node Metrics in
Complex Networks, arXiv:2511.05122) catalogues
349 node centrality measures and publishes how similarly they rank
nodes. This page answers one question: if you are looking for a
measure from the Zoo, what does cograph offer?
Every measure in the Centrality Zoo
(349 measures, Shvydun 2025) appears exactly once below.
tau is the average Kendall rank correlation between Zoo
implementations over 648 empirical networks. A mapped cograph name
identifies a corresponding definition; these are not comparisons against
cograph outputs. Values are rounded: displayed 1.00 does not prove exact
rank or numerical equivalence.
| Section | Meaning | Count |
|---|---|---|
| Available | cograph implements the measure itself | 166 |
| Correlated candidate (tau >= 0.90) | not implemented; a mapped Zoo measure has high average rank correlation | 118 |
| Not available (tau < 0.90) | not implemented; nearest mapped Zoo measure has lower average correlation | 65 |
Only 166 of the 349 Zoo labels are mapped as implemented. Another 118 have a correlated candidate, including 23 at tau >= 0.99. Correlation does not establish interchangeable measures.
Caveat: the Zoo computed tau on undirected, unweighted networks, so agreement on a directed or weighted network may be lower. Rank agreement does not establish numerical equivalence or accuracy. No fixed conversion between Kendall and Spearman correlation is assumed.
Available in cograph
| Zoo measure | cograph measure | Call |
|---|---|---|
| Access information | access_information |
centrality(x, measures = "access_information") |
| Adaptive LeaderRank | adaptive_leaderrank |
centrality(x, measures = "adaptive_leaderrank") |
| beta-measure | beta_measure |
centrality(x, measures = "beta_measure") |
| Betweenness | betweenness |
centrality(x, measures = "betweenness") |
| BG-index | beta_measure |
centrality(x, measures = "beta_measure") |
| Borgatti’s effective size | effective_size |
centrality(x, measures = "effective_size") |
| BottleNeck | bottleneck |
centrality(x, measures = "bottleneck") |
| Bridging capital | bridging_capital |
centrality(x, measures = "bridging_capital") |
| Bridging centrality | bridging |
centrality(x, measures = "bridging") |
| Bridging coefficient | bridging_coefficient |
centrality(x, measures = "bridging_coefficient") |
| Burt’s constraint | constraint |
centrality(x, measures = "constraint") |
| Centroid | centroid |
centrality(x, measures = "centroid") |
| Closeness | closeness |
centrality(x, measures = "closeness") |
| Closeness vitality | closeness_vitality |
centrality(x, measures = "closeness_vitality") |
| Clustering degree algorithm (CDA) | cda |
centrality(x, measures = "cda") |
| ClusterRank | clusterrank |
centrality(x, measures = "clusterrank") |
| Coleman-Theil disorder index | coleman_theil |
centrality(x, measures = "coleman_theil") |
| CollInf | collective_influence |
centrality(x, measures = "collective_influence") |
| Comm Centrality | comm_centrality |
centrality(x, measures = "comm_centrality") |
| Communicability betweenness | communicability_betweenness |
centrality(x, measures = "communicability_betweenness") |
| Community Hub‑Bridge measure | community_hub_bridge |
centrality(x, measures = "community_hub_bridge") |
| Community-based centrality (CbC) | community_based |
centrality(x, measures = "community_based") |
| Community-based mediator (CbM) | community_mediator |
centrality(x, measures = "community_mediator") |
| ControlRank | controlrank |
centrality(x, measures = "controlrank") |
| Cross-Clique Connectivity | cross_clique |
centrality(x, measures = "cross_clique") |
| Current-flow betweenness | current_flow_betweenness |
centrality(x, measures = "current_flow_betweenness") |
| Current-flow Closeness | current_flow_closeness |
centrality(x, measures = "current_flow_closeness") |
| Decay | decay |
centrality(x, measures = "decay") |
| Degree | degree |
centrality(x, measures = "degree") |
| Degree and Importance of Lines (DIL) | dil |
centrality(x, measures = "dil") |
| DegreeDiscountIC | degree_discount |
centrality(x, measures = "degree_discount") |
| delta-betweenness | delta_betweenness |
centrality(x, measures = "delta_betweenness") |
| delta-closeness | delta_closeness |
centrality(x, measures = "delta_closeness") |
| Diffusion centrality | diffusion_centrality |
centrality(x, measures = "diffusion_centrality", diffusion_q = 1, diffusion_steps = 3) |
| Diffusion Degree | diffusion |
centrality(x, measures = "diffusion") |
| Distance entropy | distance_entropy |
centrality(x, measures = "distance_entropy") |
| Distance-weighted fragmentation | fragmentation |
centrality(x, measures = "fragmentation") |
| Diversity coefficient | diversity |
centrality(x, measures = "diversity") |
| DK-based gravity model (DKGM) | dkgm |
centrality(x, measures = "dkgm") |
| DMNC | dmnc |
centrality(x, measures = "dmnc") |
| Dynamical importance | dynamical_importance |
centrality(x, measures = "dynamical_importance") |
| Dynamics-sensitive (DS) centrality | dynamics_sensitive |
centrality(x, measures = "dynamics_sensitive", ds_beta = 0.1, ds_mu = 1, ds_steps = 5) |
| Eccentricity | eccentricity |
centrality(x, measures = "eccentricity") |
| Effective size | effective_size |
centrality(x, measures = "effective_size") |
| Egocentric betweenness | ego_betweenness |
centrality(x, measures = "ego_betweenness") |
| Eigenvector | eigenvector |
centrality(x, measures = "eigenvector") |
| EnRenew | enrenew |
centrality(x, measures = "enrenew") |
| Entropy | entropy |
centrality(x, measures = "entropy") |
| Entropy variation (betweenness) | entropy_variation_betweenness |
centrality(x, measures = "entropy_variation_betweenness") |
| Entropy variation (degree) | entropy_variation_degree |
centrality(x, measures = "entropy_variation_degree") |
| Exogenous centrality | exogenous |
centrality(x, measures = "exogenous") |
| Expected force (ExF) | expected_force |
centrality(x, measures = "expected_force") |
| Expected force (ExFm) | modified_expected_force |
centrality(x, measures = "modified_expected_force") |
| Extended gravity centrality | extended_gravity |
centrality(x, measures = "extended_gravity") |
| Extended hybrid characteristic centrality (EHCC) | ehcc |
centrality(x, measures = "ehcc") |
| Extended LBC | extended_local_bridging |
centrality(x, measures = "extended_local_bridging") |
| Extended mixed gravitational centrality | extended_mixed_gravity |
centrality(x, measures = "extended_mixed_gravity") |
| Extended neighborhood coreness | extended_coreness |
centrality(x, measures = "extended_coreness") |
| Flow betweenness | flow_betweenness |
centrality(x, measures = "flow_betweenness") |
| Flow coefficient | flow_coefficient |
centrality(x, measures = "flow_coefficient") |
| Fuzzy local dimension (FLD) | fuzzy_local_dimension |
centrality(x, measures = "fuzzy_local_dimension") |
| Gateway coefficient | gateway |
centrality(x, measures = "gateway") |
| Geodesic k-path | geodesic_kpath |
centrality(x, measures = "geodesic_kpath") |
| Gil-Schmidt Power Index | gilschmidt |
centrality(x, measures = "gilschmidt") |
| Global Structure Model (GSM) | global_structure |
centrality(x, measures = "global_structure") |
| Godfather index | godfather |
centrality(x, measures = "godfather") |
| Graph regularization centrality (GRC) | graph_regularization |
centrality(x, measures = "graph_regularization") |
| Gravity centrality | gravity |
centrality(x, measures = "gravity") |
| Gravity model | gravity |
centrality(x, measures = "gravity", gravity_mass = "degree", gravity_radius = NULL) |
| h-index strength | hindex_strength |
centrality(x, measures = "hindex_strength") |
| Harmonic | harmonic |
centrality(x, measures = "harmonic") |
| Heatmap centrality | heatmap |
centrality(x, measures = "heatmap") |
| Hide information | hide_information |
centrality(x, measures = "hide_information") |
| Hubbel | hubbell |
centrality(x, measures = "hubbell") |
| Hybrid Characteristic Centrality (HCC) | hcc |
centrality(x, measures = "hcc") |
| Hybrid Global Structure Model (H-GSM) | hybrid_global_structure |
centrality(x, measures = "hybrid_global_structure") |
| Immediate Effects Centrality (IEC) | iec |
centrality(x, measures = "iec") |
| Improved closeness centrality (ICC) | improved_closeness |
centrality(x, measures = "improved_closeness") |
| Improved global structure model (IGSM) | improved_global_structure |
centrality(x, measures = "improved_global_structure") |
| Improved IMC | node_contraction_improved |
centrality(x, measures = "node_contraction_improved") |
| Improved iterative resource allocation (IIRA) | iira |
centrality(x, measures = "iira") |
| Infection number | infection |
centrality(x, measures = "infection") |
| Integration | integration |
centrality(x, measures = "integration") |
| Intra-module degree | within_module_z |
centrality(x, measures = "within_module_z") |
| Iterative resource allocation (IRA) | ira |
centrality(x, measures = "ira") |
| k-betweenness | betweenness |
centrality(x, measures = "betweenness", cutoff = k) |
| k-shell | coreness |
centrality(x, measures = "coreness") |
| k-truss number | truss |
centrality(x, measures = "truss") |
| Katz | katz |
centrality(x, measures = "katz") |
| KED | ked |
centrality(x, measures = "ked") |
| Laplacian | laplacian |
centrality(x, measures = "laplacian") |
| LeaderRank | leaderrank |
centrality(x, measures = "leaderrank") |
| Length-scaled betweenness | length_scaled_betweenness |
centrality(x, measures = "length_scaled_betweenness") |
| Leverage | leverage |
centrality(x, measures = "leverage") |
| Lhc method | lhc |
centrality(x, measures = "lhc") |
| Lin’s index | lin |
centrality(x, measures = "lin") |
| LineRank | linerank |
centrality(x, measures = "linerank") |
| Load | load |
centrality(x, measures = "load") |
| Lobby index | lobby |
centrality(x, measures = "lobby") |
| Local clustering coefficient | transitivity |
centrality(x, measures = "transitivity") |
| Local dimension (LD) | local_dimension_fixed |
centrality(x, measures = "local_dimension_fixed") |
| Local dimension (Pu) | local_dimension |
centrality(x, measures = "local_dimension") |
| Local entropy (LE) | local_entropy |
centrality(x, measures = "local_entropy") |
| Local gravity model | gravity |
centrality(x, measures = "gravity", gravity_mass = "degree", gravity_radius = "auto") |
| Local H-index | local_hindex |
centrality(x, measures = "local_hindex") |
| Local information dimensionality (LID) | local_information_dimension |
centrality(x, measures = "local_information_dimension") |
| Local neighbor contribution (LNC) | lnc |
centrality(x, measures = "lnc") |
| Local volume dimension (LVD) | local_volume_dimension |
centrality(x, measures = "local_volume_dimension") |
| Localized bridging centrality | localized_bridging |
centrality(x, measures = "localized_bridging") |
| LocalRank | semilocal |
centrality(x, measures = "semilocal") |
| m-reach | kreach |
centrality(x, measures = "kreach") |
| Malatya centrality | malatya |
centrality(x, measures = "malatya") |
| Map Equation Centrality (MEC) | map_equation |
centrality(x, measures = "map_equation") |
| Markov | markov |
centrality(x, measures = "markov") |
| MCC | mcc |
centrality(x, measures = "mcc") |
| Mixed Degree Decomposition (MDD) | mdd |
centrality(x, measures = "mdd") |
| Mixed gravitational centrality | mixed_gravity |
centrality(x, measures = "mixed_gravity") |
| MNC | mnc |
centrality(x, measures = "mnc") |
| Modularity vitality | modularity_vitality |
centrality(x, measures = "modularity_vitality") |
| Multi-characteristics gravity model (MCGM) | mcgm |
centrality(x, measures = "mcgm") |
| NCVoteRank | ncvoterank |
centrality(x, measures = "ncvoterank") |
| Neighbor distance centrality | neighbor_distance |
centrality(x, measures = "neighbor_distance") |
| Neighborhood centrality | neighbor_distance |
centrality(x, measures = "neighbor_distance") |
| Neighborhood connectivity | neighborhood_connectivity |
centrality(x, measures = "neighborhood_connectivity") |
| Node and Neighbor Layer Information (NINL) centrality | ninl |
centrality(x, measures = "ninl") |
| Node contraction (IMC) | node_contraction |
centrality(x, measures = "node_contraction") |
| Non-backtracking centrality | nonbacktracking |
centrality(x, measures = "nonbacktracking") |
| PageRank | pagerank |
centrality(x, measures = "pagerank") |
| Pairwise disconnectivity | pairwisedis |
centrality(x, measures = "pairwisedis") |
| Participation coefficient | participation |
centrality(x, measures = "participation") |
| Percolation | percolation |
centrality(x, measures = "percolation") |
| Proximal betwenness | proximal_betweenness |
centrality(x, measures = "proximal_betweenness") |
| Random walk centrality | random_walk |
centrality(x, measures = "random_walk") |
| Random walk decay | random_walk_decay |
centrality(x, measures = "random_walk_decay") |
| Randomized shortest paths (RSP) betweenness | rsp_betweenness |
centrality(x, measures = "rsp_betweenness") |
| Redundancy | redundancy |
centrality(x, measures = "redundancy") |
| Relative entropy | relative_entropy |
centrality(x, measures = "relative_entropy") |
| Renewed coreness | renewed_coreness |
centrality(x, measures = "renewed_coreness") |
| Residual closeness | residual_closeness |
centrality(x, measures = "residual_closeness") |
| Resistance curvature | resistance_curvature |
centrality(x, measures = "resistance_curvature") |
| Rumor centrality | rumor |
centrality(x, measures = "rumor") |
| s-shell index | s_shell |
centrality(x, measures = "s_shell") |
| SALSA | salsa |
centrality(x, measures = "salsa") |
| Second order centrality | second_order |
centrality(x, measures = "second_order") |
| Semi-local ranking (SLC) | semilocal |
centrality(x, measures = "semilocal") |
| Shapley value (game 1) | shapley_game1 |
centrality(x, measures = "shapley_game1") |
| Shapley value (game 2) | shapley_game2 |
centrality(x, measures = "shapley_game2") |
| Shapley value (game 3) | shapley_game3 |
centrality(x, measures = "shapley_game3") |
| SingleDiscount | single_discount |
centrality(x, measures = "single_discount") |
| Spanning tree centrality (STC) | spanning_tree |
centrality(x, measures = "spanning_tree") |
| SpectralRank | spectralrank |
centrality(x, measures = "spectralrank") |
| Stress | stress |
centrality(x, measures = "stress") |
| Subgraph | subgraph |
centrality(x, measures = "subgraph") |
| Support | support |
centrality(x, measures = "support") |
| Topological | topological_coefficient |
centrality(x, measures = "topological_coefficient") |
| Total communicability | communicability |
centrality(x, measures = "communicability") |
| Trust-PageRank | trust_pagerank |
centrality(x, measures = "trust_pagerank") |
| Two-way random walk betweenness (2RW) | two_way_rw |
centrality(x, measures = "two_way_rw") |
| Volume centrality | volume |
centrality(x, measures = "volume") |
| VoteRank | voterank |
centrality(x, measures = "voterank") |
| VoteRank++ | voterank_plus |
centrality(x, measures = "voterank_plus") |
| Weighted h-index | weighted_h_index |
centrality(x, measures = "weighted_h_index") |
| Weighted k-shell decomposition (Wks) | weighted_kshell |
centrality(x, measures = "weighted_kshell") |
| Weighted LeaderRank | weighted_leaderrank |
centrality(x, measures = "weighted_leaderrank") |
| WVoteRank | wvoterank |
centrality(x, measures = "wvoterank") |
| X-degree centrality | x_degree |
centrality(x, measures = "x_degree") |
Correlated candidates (tau >= 0.90)
These measures are not implemented. The nearest mapped Zoo measure is a research lead, not a verified substitute. Average correlation alone cannot establish equivalence on an individual network.
| Zoo measure | Correlated cograph candidate | Call | tau | Evidence |
|---|---|---|---|---|
| AIC | lin |
centrality(x, measures = "lin") |
1.00 | high average rank correlation; not equivalence |
| All cycle betweenness (ACC) | cross_clique |
centrality(x, measures = "cross_clique") |
0.92 | high average rank correlation; not equivalence |
| All-around score | mdd |
centrality(x, measures = "mdd") |
0.95 | high average rank correlation; not equivalence |
| Analytic Hierarchy Process (AHP) centrality | harmonic |
centrality(x, measures = "harmonic") |
0.93 | high average rank correlation; not equivalence |
| ArticleRank | pagerank |
centrality(x, measures = "pagerank") |
0.95 | high average rank correlation; not equivalence |
| Average shortest path centrality (AC) | closeness_vitality |
centrality(x, measures = "closeness_vitality") |
0.98 | high average rank correlation; not equivalence |
| Biased random walk centrality | salsa |
centrality(x, measures = "salsa") |
0.90 | high average rank correlation; not equivalence |
| Cc-Burt | iira |
centrality(x, measures = "iira") |
0.90 | high average rank correlation; not equivalence |
| Classified neighbors centrality | mdd |
centrality(x, measures = "mdd") |
0.96 | high average rank correlation; not equivalence |
| CON score | semilocal |
centrality(x, measures = "semilocal") |
0.96 | high average rank correlation; not equivalence |
| Correlation centrality | infection |
centrality(x, measures = "infection") |
0.94 | high average rank correlation; not equivalence |
| Counting Betweenness | ked |
centrality(x, measures = "ked") |
0.96 | high average rank correlation; not equivalence |
| Cumulative contact probability (CCP) | salsa |
centrality(x, measures = "salsa") |
1.00 | high average rank correlation; not equivalence |
| Curvature index | dil |
centrality(x, measures = "dil") |
0.93 | high average rank correlation; not equivalence |
| Degree and clustering coefficient (DCC) | diffusion |
centrality(x, measures = "diffusion") |
0.93 | high average rank correlation; not equivalence |
| Degree mass | diffusion |
centrality(x, measures = "diffusion") |
1.00 | high average rank correlation; not equivalence |
| Density centrality | gravity |
centrality(x, measures = "gravity", gravity_mass = "degree", gravity_radius = NULL) |
0.96 | high average rank correlation; not equivalence |
| DirichletRank | salsa |
centrality(x, measures = "salsa") |
1.00 | high average rank correlation; not equivalence |
| Diversity-strength centrality (DSC) | salsa |
centrality(x, measures = "salsa") |
0.91 | high average rank correlation; not equivalence |
| Diversity-strength ranking (DSR) | iira |
centrality(x, measures = "iira") |
0.94 | high average rank correlation; not equivalence |
| DST | resistance_curvature |
centrality(x, measures = "resistance_curvature") |
0.93 | high average rank correlation; not equivalence |
| Dynamical Influence | eigenvector |
centrality(x, measures = "eigenvector") |
1.00 | high average rank correlation; not equivalence |
| Edge clustering coefficient centrality (NC) | cross_clique |
centrality(x, measures = "cross_clique") |
0.90 | high average rank correlation; not equivalence |
| Edge-disjoint k-path | iira |
centrality(x, measures = "iira") |
0.93 | high average rank correlation; not equivalence |
| Effective gravity model (EGM) | gravity |
centrality(x, measures = "gravity", gravity_mass = "degree", gravity_radius = NULL) |
0.92 | high average rank correlation; not equivalence |
| Efficiency centrality (EffC) | fragmentation |
centrality(x, measures = "fragmentation") |
1.00 | high average rank correlation; not equivalence |
| Eigentrust | salsa |
centrality(x, measures = "salsa") |
0.93 | high average rank correlation; not equivalence |
| Electrical closeness | current_flow_closeness |
centrality(x, measures = "current_flow_closeness") |
1.00 | high average rank correlation; not equivalence |
| Entropy and mutual information-based centrality (EMI) | coleman_theil |
centrality(x, measures = "coleman_theil") |
0.95 | high average rank correlation; not equivalence |
| Entropy-based gravity model | communicability_betweenness |
centrality(x, measures = "communicability_betweenness") |
0.93 | high average rank correlation; not equivalence |
| Entropy-Based Ranking Measure (ERM) | ninl |
centrality(x, measures = "ninl") |
0.97 | high average rank correlation; not equivalence |
| epsilon-betweenness | percolation |
centrality(x, measures = "percolation") |
1.00 | high average rank correlation; not equivalence |
| Extended Cluster Coefficient Ranking Measure (ECRM) | ninl |
centrality(x, measures = "ninl") |
0.98 | high average rank correlation; not equivalence |
| Extended diversity-strength ranking (EDSR) | ninl |
centrality(x, measures = "ninl") |
0.95 | high average rank correlation; not equivalence |
| Extended H-index centrality (EHC) | ninl |
centrality(x, measures = "ninl") |
0.98 | high average rank correlation; not equivalence |
| Extended improved k-shell hybrid (EIKH) | infection |
centrality(x, measures = "infection") |
0.98 | high average rank correlation; not equivalence |
| Extended k-shell hybrid method | infection |
centrality(x, measures = "infection") |
0.98 | high average rank correlation; not equivalence |
| Extended RMD-weighted degree (EWD) | extended_coreness |
centrality(x, measures = "extended_coreness") |
0.98 | high average rank correlation; not equivalence |
| Extended weight degree centrality (EWdc) | communicability |
centrality(x, measures = "communicability") |
0.97 | high average rank correlation; not equivalence |
| Global and local information (GLI) method | improved_global_structure |
centrality(x, measures = "improved_global_structure") |
0.95 | high average rank correlation; not equivalence |
| Global and Local Structure(GLS) | linerank |
centrality(x, measures = "linerank") |
0.96 | high average rank correlation; not equivalence |
| Global importance of nodes (GIN) | improved_global_structure |
centrality(x, measures = "improved_global_structure") |
0.98 | high average rank correlation; not equivalence |
| Hierarchical k-shell (HKS) | eigenvector |
centrality(x, measures = "eigenvector") |
0.95 | high average rank correlation; not equivalence |
| Hybrid centrality (HC) | harmonic |
centrality(x, measures = "harmonic") |
0.91 | high average rank correlation; not equivalence |
| Hybrid degree centrality | hubbell |
centrality(x, measures = "hubbell") |
0.99 | high average rank correlation; not equivalence |
| Icentr | improved_global_structure |
centrality(x, measures = "improved_global_structure") |
0.96 | high average rank correlation; not equivalence |
| Improved entropy-based centrality | ked |
centrality(x, measures = "ked") |
0.97 | high average rank correlation; not equivalence |
| Improved K-shell decomposition (IKSD) | lobby |
centrality(x, measures = "lobby") |
0.94 | high average rank correlation; not equivalence |
| Improved k-shell hybrid (IKH) | neighbor_distance |
centrality(x, measures = "neighbor_distance") |
0.97 | high average rank correlation; not equivalence |
| Improved neighbors’ k-core (INK) | local_hindex |
centrality(x, measures = "local_hindex") |
1.00 | high average rank correlation; not equivalence |
| INF centrality | beta_measure |
centrality(x, measures = "beta_measure") |
1.00 | high average rank correlation; not equivalence |
| Influence capability (IC) | ninl |
centrality(x, measures = "ninl") |
0.97 | high average rank correlation; not equivalence |
| Integral k-shell | neighbor_distance |
centrality(x, measures = "neighbor_distance") |
0.91 | high average rank correlation; not equivalence |
| Inward accessibility | trust_pagerank |
centrality(x, measures = "trust_pagerank") |
0.91 | high average rank correlation; not equivalence |
| k-path | diffusion |
centrality(x, measures = "diffusion") |
0.99 | high average rank correlation; not equivalence |
| k-shell based on gravity centrality (KSGC) | hubbell |
centrality(x, measures = "hubbell") |
0.95 | high average rank correlation; not equivalence |
| k-shell hybrid method | neighbor_distance |
centrality(x, measures = "neighbor_distance") |
0.97 | high average rank correlation; not equivalence |
| k-shell iteration factor(KS-IF) | extended_coreness |
centrality(x, measures = "extended_coreness") |
0.95 | high average rank correlation; not equivalence |
| KDEC method | mixed_gravity |
centrality(x, measures = "mixed_gravity") |
0.95 | high average rank correlation; not equivalence |
| Laplacian gravity centrality (LGC) | diffusion |
centrality(x, measures = "diffusion") |
0.97 | high average rank correlation; not equivalence |
| Linearly scaled betweenness | percolation |
centrality(x, measures = "percolation") |
1.00 | high average rank correlation; not equivalence |
| Local structural centrality (LSC) | iira |
centrality(x, measures = "iira") |
0.95 | high average rank correlation; not equivalence |
| LRIC (max) | salsa |
centrality(x, measures = "salsa") |
0.90 | high average rank correlation; not equivalence |
| LRIC (PPR) | salsa |
centrality(x, measures = "salsa") |
0.93 | high average rank correlation; not equivalence |
| M-centrality | iira |
centrality(x, measures = "iira") |
0.92 | high average rank correlation; not equivalence |
| Mapping entropy (ME) | hubbell |
centrality(x, measures = "hubbell") |
0.98 | high average rank correlation; not equivalence |
| Mapping Entropy Betweenness (MEB) | relative_entropy |
centrality(x, measures = "relative_entropy") |
0.96 | high average rank correlation; not equivalence |
| Mediative Effects Centrality (MEC) | communicability_betweenness |
centrality(x, measures = "communicability_betweenness") |
0.95 | high average rank correlation; not equivalence |
| Meta-centrality | iira |
centrality(x, measures = "iira") |
0.93 | high average rank correlation; not equivalence |
| Mixed core, degree and entropy (MCDE) | salsa |
centrality(x, measures = "salsa") |
0.97 | high average rank correlation; not equivalence |
| Mixed core, degree and weighted entropy (MCDWE) | mdd |
centrality(x, measures = "mdd") |
0.97 | high average rank correlation; not equivalence |
| Mixed core, semi-local degree and entropy (MCSDE) | semilocal |
centrality(x, measures = "semilocal") |
1.00 | high average rank correlation; not equivalence |
| Mixed core, semi-local degree and weighted entropy (MCSDWE) | semilocal |
centrality(x, measures = "semilocal") |
1.00 | high average rank correlation; not equivalence |
| Modified Local Centrality (MLC) | semilocal |
centrality(x, measures = "semilocal") |
1.00 | high average rank correlation; not equivalence |
| Multi-evidence centrality (MeC) | communicability_betweenness |
centrality(x, measures = "communicability_betweenness") |
0.95 | high average rank correlation; not equivalence |
| Neighborhood core diversity centrality (Cncd) | extended_coreness |
centrality(x, measures = "extended_coreness") |
0.98 | high average rank correlation; not equivalence |
| New evidential centrality (NEC) | salsa |
centrality(x, measures = "salsa") |
0.91 | high average rank correlation; not equivalence |
| Nieminen’s closeness | lin |
centrality(x, measures = "lin") |
1.00 | high average rank correlation; not equivalence |
| NL centrality | iira |
centrality(x, measures = "iira") |
0.95 | high average rank correlation; not equivalence |
| Node importance contribution correlation matrix (NICCM) method | iira |
centrality(x, measures = "iira") |
0.95 | high average rank correlation; not equivalence |
| Node importance evaluation matrix (NIEM) method | semilocal |
centrality(x, measures = "semilocal") |
0.97 | high average rank correlation; not equivalence |
| Normalized local centrality (NLC) | iira |
centrality(x, measures = "iira") |
0.94 | high average rank correlation; not equivalence |
| NWRank | communicability_betweenness |
centrality(x, measures = "communicability_betweenness") |
0.91 | high average rank correlation; not equivalence |
| Path-transfer centrality | controlrank |
centrality(x, measures = "controlrank") |
0.92 | high average rank correlation; not equivalence |
| PhysarumSpreader | beta_measure |
centrality(x, measures = "beta_measure") |
1.00 | high average rank correlation; not equivalence |
| Probabilistic-jumping Random Walk (PJRW) | salsa |
centrality(x, measures = "salsa") |
0.91 | high average rank correlation; not equivalence |
| ProfitLeader | support |
centrality(x, measures = "support") |
0.95 | high average rank correlation; not equivalence |
| QJSD centrality | salsa |
centrality(x, measures = "salsa") |
1.00 | high average rank correlation; not equivalence |
| Random walk-based gravity (DFS-Gravity) | laplacian |
centrality(x, measures = "laplacian") |
0.94 | high average rank correlation; not equivalence |
| RCFB centrality | current_flow_betweenness |
centrality(x, measures = "current_flow_betweenness") |
0.92 | high average rank correlation; not equivalence |
| RMD-weighted degree (WD) | local_hindex |
centrality(x, measures = "local_hindex") |
0.96 | high average rank correlation; not equivalence |
| Routing betweenness | load |
centrality(x, measures = "load") |
1.00 | high average rank correlation; not equivalence |
| Seeley’s index | salsa |
centrality(x, measures = "salsa") |
0.93 | high average rank correlation; not equivalence |
| Semi-local iterative algorithm (semi-IA) | improved_closeness |
centrality(x, measures = "improved_closeness") |
0.93 | high average rank correlation; not equivalence |
| Shell clustering coefficient | modified_expected_force |
centrality(x, measures = "modified_expected_force") |
0.97 | high average rank correlation; not equivalence |
| Similarity-based PageRank | malatya |
centrality(x, measures = "malatya") |
0.91 | high average rank correlation; not equivalence |
| Spreading probability (SP) | infection |
centrality(x, measures = "infection") |
0.93 | high average rank correlation; not equivalence |
| Synthesize centrality (SC) | salsa |
centrality(x, measures = "salsa") |
0.91 | high average rank correlation; not equivalence |
| TOPSIS | fragmentation |
centrality(x, measures = "fragmentation") |
0.91 | high average rank correlation; not equivalence |
| TOPSIS-RE | relative_entropy |
centrality(x, measures = "relative_entropy") |
0.95 | high average rank correlation; not equivalence |
| Total centrality | fragmentation |
centrality(x, measures = "fragmentation") |
1.00 | high average rank correlation; not equivalence |
| Total Effects Centrality (TEC) | salsa |
centrality(x, measures = "salsa") |
1.00 | high average rank correlation; not equivalence |
| Transportation centrality | rsp_betweenness |
centrality(x, measures = "rsp_betweenness") |
0.91 | high average rank correlation; not equivalence |
| Vertex-disjoint k-path | iira |
centrality(x, measures = "iira") |
0.92 | high average rank correlation; not equivalence |
| ViralRank | current_flow_closeness |
centrality(x, measures = "current_flow_closeness") |
1.00 | high average rank correlation; not equivalence |
| VMM algorithm | salsa |
centrality(x, measures = "salsa") |
0.96 | high average rank correlation; not equivalence |
| Weight degree centrality (Wdc) | diffusion |
centrality(x, measures = "diffusion") |
0.97 | high average rank correlation; not equivalence |
| Weight neighborhood centrality | dkgm |
centrality(x, measures = "dkgm") |
0.97 | high average rank correlation; not equivalence |
| Weighted formal concept analysis (WFCA) | mcc |
centrality(x, measures = "mcc") |
0.97 | high average rank correlation; not equivalence |
| Weighted gravity model (WGravity) | diffusion_centrality |
centrality(x, measures = "diffusion_centrality", diffusion_q = 1, diffusion_steps = 3) |
0.98 | high average rank correlation; not equivalence |
| Weighted k-shell degree neighborhood (Maji) | linerank |
centrality(x, measures = "linerank") |
0.98 | high average rank correlation; not equivalence |
| Weighted k-shell degree neighborhood (Wksd) | gravity |
centrality(x, measures = "gravity") |
0.96 | high average rank correlation; not equivalence |
| Weighted TOPSIS | harmonic |
centrality(x, measures = "harmonic") |
0.94 | high average rank correlation; not equivalence |
| wkpath | infection |
centrality(x, measures = "infection") |
0.96 | high average rank correlation; not equivalence |
| WRank | semilocal |
centrality(x, measures = "semilocal") |
0.91 | high average rank correlation; not equivalence |
| X-nonbacktracking centrality | iira |
centrality(x, measures = "iira") |
0.94 | high average rank correlation; not equivalence |
| Zeta vector centrality | second_order |
centrality(x, measures = "second_order") |
1.00 | high average rank correlation; not equivalence |
| μ-Power Community Index (μ-PCI) | lobby |
centrality(x, measures = "lobby") |
0.94 | high average rank correlation; not equivalence |
Not available (tau < 0.90)
These measures are not implemented. The nearest mapped Zoo measure and its average tau provide comparison context, without proving equivalence.
| Zoo measure | Nearest cograph measure | tau |
|---|---|---|
| Absorbing Random-Walk (ARW) | single_discount |
0.65 |
| Algebraic centrality | closeness_vitality |
0.74 |
| BridgeRank | lin |
0.76 |
| Clustered local-degree (CLD) | hcc |
0.84 |
| Community centrality | ego_betweenness |
0.66 |
| Contribution centrality | improved_closeness |
0.88 |
| Degree and Clustering coefficient and Location (DCL) | clusterrank |
0.58 |
| DegreeDistance | degree_discount |
0.30 |
| DegreePunishment | constraint |
0.55 |
| DSHC method | voterank_plus |
0.73 |
| E-Burt | constraint |
0.71 |
| Effective distance gravity (EffG) | improved_global_structure |
0.84 |
| Entropy-based influence disseminator (EbID) | salsa |
0.87 |
| EPC | random_walk |
0.80 |
| Expected rank | resistance_curvature |
0.77 |
| Fractional Graph Fourier Transform (FrGFTC) | salsa |
0.59 |
| Game centrality (GC) | local_dimension |
0.61 |
| Generalized gravity centrality (GGC) | gravity |
0.86 |
| Graph Fourier Transform Centrality (GFT-C) | mdd |
0.88 |
| Graph-theoretic power index (GPI) | fuzzy_local_dimension |
0.41 |
| Graphlet degree centrality (GDC) | gravity |
0.82 |
| Gromov centrality | salsa |
0.81 |
| Hierarchical reduction by betweenness | godfather |
0.87 |
| Hybrid (Pozzi) | s_shell |
0.00 |
| HybridRank | degree_discount |
0.27 |
| Improved coloring method (IIS) | constraint |
0.37 |
| Improved k-shell method (IKS) | clusterrank |
0.32 |
| Improved WVoteRank | proximal_betweenness |
0.67 |
| Information distance index | salsa |
0.63 |
| Interdependence | salsa |
0.87 |
| IS method | dmnc |
0.54 |
| Isolating Centrality (ISC) | pairwisedis |
0.89 |
| K-shell Physarum centrality | ego_betweenness |
0.52 |
| Link influence entropy (LInE) | flow_coefficient |
0.53 |
| Local degree dimension (LDD) | iira |
0.88 |
| Local fuzzy information centrality (LFIC) | neighborhood_connectivity |
0.28 |
| Local RASP | load |
0.58 |
| LRIC (maxmin) | dil |
0.70 |
| LRIC-sim | voterank_plus |
0.67 |
| MABIE | dil |
0.89 |
| Multi-criteria influence maximization (MCIM) | iira |
0.68 |
| Multi-local dimension (MLD) | fuzzy_local_dimension |
0.80 |
| Multiple local attributes weighted centrality (LWC) | support |
0.89 |
| Mutual information | shapley_game1 |
0.82 |
| Neighborhood density | support |
0.78 |
| Node importance contribution matrix (NICM) method | closeness_vitality |
0.81 |
| Node information dimension (NID) | local_dimension |
0.41 |
| Node local centrality (NLC) | mcc |
0.87 |
| Outward accessibility | improved_closeness |
0.85 |
| Partition-Based Spreaders Identification (PBSI) | salsa |
0.64 |
| PathRank | nonbacktracking |
0.90 |
| Physarum centrality | bottleneck |
0.44 |
| Random walk accessibility (RWA) | improved_closeness |
0.86 |
| Relative local–global importance (RLGI) | malatya |
0.82 |
| Return Random Walk Gravity (RRWG) | iira |
0.84 |
| Semi-local degree and clustering coefficient | kreach |
0.76 |
| Shapley Value based Information Delimiters (SVID) | salsa |
0.74 |
| Shortest cycle closeness (SCC) | improved_closeness |
0.86 |
| Spreading strength | geodesic_kpath |
0.88 |
| SRIC | leverage |
0.82 |
| theta-centrality | gravity |
0.90 |
| Truncated curvature | iira |
0.57 |
| Two-step framework (IF) | effective_size |
0.60 |
| Weighted community betweenness | bridging |
0.88 |
| Weighted volume centrality | geodesic_kpath |
0.78 |