Centrality has no single definition—it depends on the network, its dynamics, and context. This has led to a “zoo” of diverse centrality measures used to analyze complex networks.
Zoo of Centralities

This page provides a verified list of various metrics for nodes. While some, such as the clustering coefficient, are not centrality measures, they all quantify important properties of nodes within a network. Detailed descriptions will be available on their dedicated pages soon. If you have developed or contributed to a centrality measure that you believe should be included, please submit it through this form.

  1. Absorbing random-walk (ARW) centrality
  2. Access information
  3. Adaptive LeaderRank
  4. Adaptive omni-channel gravity centrality (AOGC)
  5. Adjusted Index of Centrality (AIC)
  6. Algebraic centrality
  7. All-around score
  8. All-subgraph centrality
  9. All cycle betweenness (ACC) centrality
  10. Analytic Hierarchy Process (AHP) centrality
  11. ArticleRank
  12. Attentive betweenness centrality (ABC)
  13. Average shortest path centrality (AC)
  14. Balanced centrality (SWIPD)
  15. Betweenness centrality
  16. BG-index
  17. Biased random walk (BRW) centrality
  18. Bipartivity index
  19. Borgatti's effective size
  20. Borda centrality
  21. BottleNeck centrality
  22. BridgeRank
  23. Bridging capital
  24. Bridging centrality
  25. Bridging coefficient
  26. Bundle index
  27. Burt's constraint
  28. Cc-Burt centrality
  29. Centroid centrality
  30. Classified neighbors centrality
  31. Clique level
  32. Closeness centrality
  33. Closeness vitality
  34. Clustered local-degree (CLD)
  35. Clustering degree algorithm (CDA)
  36. ClusterRank centrality
  37. Coleman-Theil disorder index
  38. Collective influence
  39. Collective network entanglement (CNE)
  40. Comm Centrality
  41. Common out-neighbor (CON) score
  42. Communicability betweenness centrality
  43. Community centrality
  44. Community hub-bridge (CHB) measure
  45. Community-based centrality (CbC)
  46. Community-based mediator (CbM)
  47. Contribution centrality
  48. ControlRank
  49. Copeland centrality
  50. CoreHD
  51. Correlation centrality (CoC)
  52. Counting betweenness centrality (CBET)
  53. Cross-clique connectivity
  54. Cumulative Contact Probability (CCP)
  55. Current-flow betweenness centrality
  56. Current-flow closeness centrality
  57. Curvature index
  58. Decay centrality
  59. Decaying degree centrality (DDC)
  60. Degree and clustering coefficient (DCC) centrality
  61. Degree and clustering coefficient and location (DCL) centrality
  62. Degree and Importance of Lines (DIL)
  63. Degree and structural hole count (DSHC) method
  64. Degree centrality
  65. Degree mass
  66. DegreeDiscountIC
  67. DegreeDistance
  68. DegreePunishment
  69. δ-betweenness centrality
  70. δ-closeness centrality
  71. Density centrality
  72. Density of the Maximum Neighborhood Component (DMNC)
  73. Diffusion centrality
  74. Diffusion degree
  75. DirichletRank
  76. Disassortativity and community structure (mDC) centrality
  77. Disassortativity of node (DoN)
  78. Distance entropy (DE)
  79. Distance-weighted fragmentation (DF)
  80. Diversity coefficient
  81. Diversity-strength centrality (DSC)
  82. Diversity-strength ranking (DSR)
  83. DK-based gravity model (DKGM)
  84. DomiRank centrality
  85. Dynamical importance
  86. Dynamical influence
  87. Dynamical spanning tree (DST) centrality
  88. Dynamics-sensitive (DS) centrality
  89. Eccentricity centrality
  90. Edge clustering coefficient (NC)
  91. Edge Percolated Component (EPC)
  92. Edge-disjoint k-path centrality
  93. Effective distance closeness centrality (EDCC)
  94. Effective distance gravity model (EffG)
  95. Effective gravity model (EGM)
  96. Effective Size (ES)
  97. Efficiency centrality (EffC)
  98. Egocentric betweenness centrality
  99. Eigentrust centrality
  100. Eigenvector centrality
  101. Electrical closeness centrality
  102. Endpoint betweenness centrality
  103. EnRenew
  104. Entropy and mutual information-based centrality (EMI)
  105. Entropy centrality
  106. Entropy variation (EnV)
  107. Entropy-based gravity model (EGM)
  108. Entropy-based influence disseminator (EbID)
  109. Entropy-based ranking measure (ERM)
  110. Entropy-Burt method (E-Burt)
  111. Epidemic centrality
  112. ε-betweenness centrality
  113. Even subgraph centrality
  114. Exogenous centrality
  115. Expected Force (ExF)
  116. Expected rank
  117. Extended cluster coefficient ranking measure (ECRM)
  118. Extended diversity-strength ranking (EDSR)
  119. Extended gravity centrality (EGC)
  120. Extended h-index centrality (EHC)
  121. Extended k-shell hybrid method
  122. Extended hybrid characteristic centrality (EHCC)
  123. Extended hybrid degree and k-shell method
  124. Extended hybrid degree and MDD method
  125. Extended improved k-shell hybrid method
  126. Extended local bridging centrality (ELBC)
  127. Extended local dimension (ELD)
  128. Extended mixed gravitational centrality (EMGC)
  129. Extended neighborhood coreness
  130. Extended RMD-weighted degree (EWD) centrality
  131. Extended weight degree centrality (EWDC)
  132. Fitness centrality
  133. Flow betweenness centrality
  134. Flow coefficient
  135. Fractional graph Fourier transform centrality (FrGFTC)
  136. Functional centrality
  137. Fusion gravity model (FGM)
  138. Fuzzy local dimension (FLD)
  139. Game centrality (GC)
  140. Gateway coefficient
  141. Generalized degree centrality
  142. Generalized degree discount (GDD)
  143. Generalized gravity centrality (GGC)
  144. Generalized network dismantling (GND) method
  145. Generalized subgraph centrality (GSC)
  146. Geodesic k-path centrality
  147. Gil-Schmidt power index
  148. Global and local information (GLI) method
  149. Global and local structure (GLS) centrality
  150. Global importance of nodes (GIN)
  151. Global Structure Model (GSM)
  152. Godfather index
  153. Graph Fourier Transform Centrality (GFT-C)
  154. Graph regularization centrality (GRC)
  155. Graph-theoretic power index (GPI)
  156. Graphlet degree centrality (GDC)
  157. Gravity centrality
  158. Gravity model
  159. Gromov centrality
  160. h-index strength
  161. Harmonic centrality
  162. Heatmap centrality
  163. Hide information
  164. Hierarchical k-shell (HKS) centrality
  165. Hierarchical reduction by betweenness
  166. HITS (Hubs and Authorities)
  167. Hybrid characteristic centrality (HCC)
  168. Hybrid centrality (HC)
  169. Hybrid centrality measure (X)
  170. Hybrid centrality measure (Y)
  171. Hybrid centrality measure (XpY)
  172. Hybrid centrality measure (XmY)
  173. Hybrid degree and k-shell method
  174. Hybrid degree and MDD method
  175. Hybrid degree centrality
  176. Hybrid global structure model (H-GSM)
  177. Hybrid median centrality (HMC)
  178. HybridRank
  179. Hubbel centrality
  180. Immediate Effects Centrality (IEC)
  181. Improved closeness centrality (ICC)
  182. Improved distance-based coloring method (IIS)
  183. Improved entropy-based centrality
  184. Improved Global Structure Model (IGSM)
  185. Improved iterative resource allocation (IIRA) method
  186. Improved k-shell algorithm (IKS)
  187. Improved k-shell decomposition (IKSD) method
  188. Improved k-shell hybrid method (IKH)
  189. Improved neighbors’ k-core (INK)
  190. Improved node contraction (IIMC) centrality
  191. Improved WVoteRank centrality
  192. Independent cascade rank (ICR)
  193. Independent set (IS) method
  194. Index of CENTRality (Icentr)
  195. Infection number
  196. Influence capability (IC)
  197. Information distance index (IDI)
  198. Integral k-shell centrality
  199. Integration centrality
  200. Interdependence centrality
  201. Intra-module degree (IMD)
  202. Inward accessibility
  203. Isolating centrality (ISC)
  204. Iterative resource allocation (IRA) method
  205. k-betweenness centrality
  206. k-path centrality
  207. k-shell based on gravity centrality (KSGC)
  208. k-shell centrality
  209. k-shell hybrid method (ksh)
  210. k-shell iteration factor (KS-IF)
  211. k-shell Physarum centrality
  212. k-truss index
  213. Katz centrality
  214. KDEC method
  215. KED method
  216. Laplacian centrality
  217. Laplacian gravity centrality
  218. LeaderRank
  219. Length-scaled betweenness centrality (LSBC)
  220. Leverage centrality
  221. Lhc index
  222. Lin's index
  223. Linear threshold centrality (LTC)
  224. Linearly scaled betweenness centrality
  225. LineRank
  226. Link influence entropy (LInE) centrality
  227. Load centrality
  228. Lobby index
  229. Local and global centrality (LGC)
  230. Local clustering coefficient
  231. Local degree dimension (LDD)
  232. Local dimension (LD)
  233. Local entropy (LE) centrality
  234. Local fuzzy information centrality (LFIC)
  235. Local gravity model
  236. Local H-index
  237. Local information dimensionality (LID)
  238. Local neighbor contribution (LNC) centrality
  239. Local reaching centrality
  240. Local relative change of average shortest path (LRASP) centrality
  241. Local structural centrality (LSC)
  242. Local volume dimension (LVD)
  243. Localized bridging centrality (LBC)
  244. LocalRank centrality
  245. Long-Range Interaction Centrality (LRIC)
  246. M-centrality
  247. μ-Power Community Index (μ-PCI)
  248. m-reach centrality
  249. Malatya centrality
  250. Map equation centrality
  251. Mapping entropy betweenness (MEB) centrality
  252. Mapping entropy (ME) centrality
  253. Markov centrality
  254. Markov entropy centrality
  255. Maximal Clique Centrality (MCC)
  256. Maximum Neighborhood Component (MNC)
  257. Mediative effects centrality (MEC)
  258. Message-passing approach
  259. Meta-centrality
  260. Mixed core, degree and entropy (MCDE) method
  261. Mixed core, degree and weighted entropy (MCDWE) method
  262. Mixed core, semi-local degree and entropy (MCSDE) method
  263. Mixed core, semi-local degree and weighted entropy (MCSDWE) method
  264. Mixed degree decomposition (MDD)
  265. Mixed gravitational centrality
  266. Modified Expected Force (ExF^M)
  267. Modified local centrality (MLC)
  268. ModuLand centrality
  269. Modularity centrality
  270. Modularity density centrality
  271. Modularity vitality
  272. Multi-attribute ranking method based on information entropy (MABIE)
  273. Multi-characteristics gravity model (MCGM)
  274. Multi-criteria influence maximization (MCIM) method
  275. Multi-local dimension (MLD) centrality
  276. Multiple local attributes weighted centrality (LWC)
  277. Mutual information centrality
  278. NCVoteRank
  279. Neighbor distance centrality
  280. Neighborhood centrality
  281. Neighborhood connectivity
  282. Neighborhood core diversity centrality (Cncd)
  283. Neighborhood density (ND)
  284. Neighborhood structure-based centrality (NSC)
  285. Network global structure-based centrality (NGSC)
  286. New Evidential Centrality (NEC)
  287. Nieminen's closeness centrality
  288. Node and neighbor layer information (NINL) centrality
  289. NL centrality
  290. Node contraction (IMC) centrality
  291. Node importance contribution correlation matrix (NICCM) method
  292. Node importance contribution matrix (NICM) method
  293. Node importance evaluation matrix (NIEM) method
  294. Node information dimension (NID)
  295. Node local centrality (NLC)
  296. Non-backtracking centrality
  297. Normalized local centrality (NLC)
  298. Normalized wide network ranking (NWRank)
  299. Odd subgraph centrality
  300. Onion decomposition (OD)
  301. Outward accessibility
  302. p-means centrality
  303. PageRank
  304. Pairwise disconnectivity centrality
  305. Participation coefficient
  306. Partition-based spreaders identification (PBSI) method
  307. Path-transfer centrality
  308. PathRank
  309. Percolation centrality
  310. Physarum centrality
  311. PhysarumSpreader
  312. Pivotal index
  313. Principal component centrality (PCC)
  314. Probabilistic-jumping random walk (PJRW) centrality
  315. ProfitLeader
  316. Proximal betweenness centrality
  317. Quantum Jensen-Shannon Divergence (QJSD) centrality
  318. Quasi-Laplacian centrality (QC)
  319. Radiality centrality
  320. Random walk accessibility (RWA)
  321. Random walk decay (RWD) centrality
  322. Random walk centrality (RWC)
  323. Random walk-based gravity (RWG) centrality
  324. Randomized shortest paths (RSP) betweenness centrality
  325. Randomized shortest paths (RSP) net betweenness centrality
  326. Rank centrality
  327. Ranking-betweenness centrality
  328. Rapid identifying method (RIM)
  329. Redundancy measure
  330. Relative entropy
  331. Relative local-global importance (RLGI) measure
  332. Renewed coreness centrality
  333. Residual closeness centrality
  334. Resilience centrality
  335. Resistance curvature
  336. Resolvent betweenness (RB) centrality
  337. Resolvent centrality
  338. Return Random Walk Gravity (RRWG) centrality
  339. RMD-weighted degree (WD) centrality
  340. Routing betweenness centrality (RBC)
  341. Rumor centrality
  342. s-shell index
  343. Second-order centrality
  344. Seeley’s index
  345. Semi-global triangular centrality
  346. Semi-local degree and clustering coefficient (SLDCC)
  347. Semi-local iterative algorithm (semi-IA)
  348. Semi-local ranking centrality (SLC)
  349. Shapley value
  350. Shapley value based information delimiters (SVID)
  351. Shell clustering coefficient (SCC)
  352. Short-Range Interaction Centrality (SRIC)
  353. Shortest cycle closeness (SCC) centrality
  354. Silent node rank (SNR)
  355. Similarity-based PageRank
  356. Simulations-based LRIC (LRIC-sim) index
  357. SingleDiscount
  358. Spanning tree centrality (STC)
  359. SpectralRank (SR)
  360. Spreading probability (SP) centrality
  361. Spreading strength
  362. Stochastic Approach for Link Structure Analysis (SALSA)
  363. Stress centrality
  364. Synthesize centrality (SC)
  365. Subgraph centrality
  366. Super mediator degree (SMD)
  367. Support
  368. θ-Centrality
  369. Third Laplacian energy centrality (LC)
  370. Top candidate (TC) method
  371. Topological centrality (TC)
  372. Topological coefficient
  373. TOPSIS centrality
  374. TOPSIS-RE centrality
  375. Total centrality
  376. Total communicability centrality (TCC)
  377. Total effects centrality (TEC)
  378. Transportation centrality (TC)
  379. Trophic level centrality
  380. Truncated curvature index
  381. Trust-PageRank
  382. Two-step framework (IF) centrality
  383. Two-way random walk betweenness (2RW) centrality
  384. Vertex-disjoint k-path
  385. Vertex Entanglement (VE)
  386. ViralRank
  387. VMM algorithm
  388. Volume centrality
  389. VoteRank centrality
  390. VoteRank^++ centrality
  391. Weight degree centrality (WDC, Liu)
  392. Weight neighborhood centrality
  393. Weighted community betweenness (WCB) centrality
  394. Weighted formal concept analysis (WFCA)
  395. Weighted gravity model (WGravity)
  396. Weighted h-index
  397. Weighted k-shell decomposition (Wks) centrality
  398. Weighted k-shell degree neighborhood (Wksd)
  399. Weighted k-shell degree neighborhood (WKSDN)
  400. Weighted k-short node-disjoint paths (WKPaths) centrality
  401. Weighted LeaderRank
  402. Weighted top candidate (WTC) method
  403. Weighted TOPSIS (w-TOPSIS) centrality
  404. Weighted volume centrality
  405. Wide ranking (WRank)
  406. WVoteRank
  407. X-degree centrality
  408. X-non-backtracking (X-NB) centrality
  409. Zeta vector centrality