Matches in SemOpenAlex for { <https://semopenalex.org/work/W3047602308> ?p ?o ?g. }
- W3047602308 abstract "Connections between continuous and discrete worlds tend to be elusive. One example is curvature. Even though there exist numerous nonequivalent definitions of graph curvature, none is known to converge in any limit to any traditional definition of curvature of a Riemannian manifold. Here we show that Ollivier curvature of random geometric graphs in any Riemannian manifold converges in the continuum limit to Ricci curvature of the underlying manifold, but only if the definition of Ollivier graph curvature is properly generalized to apply to mesoscopic graph neighborhoods. This result establishes the first rigorous link between a definition of curvature applicable to networks and a traditional definition of curvature of smooth spaces." @default.
- W3047602308 created "2020-08-10" @default.
- W3047602308 creator A5014193979 @default.
- W3047602308 creator A5019876056 @default.
- W3047602308 creator A5027757403 @default.
- W3047602308 creator A5050093240 @default.
- W3047602308 creator A5060430493 @default.
- W3047602308 date "2021-03-05" @default.
- W3047602308 modified "2023-10-15" @default.
- W3047602308 title "Ollivier-Ricci curvature convergence in random geometric graphs" @default.
- W3047602308 cites W1879806639 @default.
- W3047602308 cites W1969454298 @default.
- W3047602308 cites W1976591270 @default.
- W3047602308 cites W1976755703 @default.
- W3047602308 cites W1979170109 @default.
- W3047602308 cites W1986537307 @default.
- W3047602308 cites W2000124739 @default.
- W3047602308 cites W2009182597 @default.
- W3047602308 cites W2013400592 @default.
- W3047602308 cites W2021155376 @default.
- W3047602308 cites W2029339103 @default.
- W3047602308 cites W2030777739 @default.
- W3047602308 cites W2033894891 @default.
- W3047602308 cites W2042788502 @default.
- W3047602308 cites W2052573556 @default.
- W3047602308 cites W2064759795 @default.
- W3047602308 cites W2077470755 @default.
- W3047602308 cites W2080431807 @default.
- W3047602308 cites W2086867325 @default.
- W3047602308 cites W2087667141 @default.
- W3047602308 cites W2088521668 @default.
- W3047602308 cites W2095487469 @default.
- W3047602308 cites W2117071406 @default.
- W3047602308 cites W2120672285 @default.
- W3047602308 cites W2138482845 @default.
- W3047602308 cites W2168251042 @default.
- W3047602308 cites W2169528473 @default.
- W3047602308 cites W2263049952 @default.
- W3047602308 cites W2291039608 @default.
- W3047602308 cites W2394869841 @default.
- W3047602308 cites W2406954949 @default.
- W3047602308 cites W2471473709 @default.
- W3047602308 cites W2610893972 @default.
- W3047602308 cites W2756140511 @default.
- W3047602308 cites W2760860222 @default.
- W3047602308 cites W2767091268 @default.
- W3047602308 cites W2776284526 @default.
- W3047602308 cites W2776657765 @default.
- W3047602308 cites W2788624079 @default.
- W3047602308 cites W2793261545 @default.
- W3047602308 cites W2795612578 @default.
- W3047602308 cites W2885978221 @default.
- W3047602308 cites W2917871706 @default.
- W3047602308 cites W2954982595 @default.
- W3047602308 cites W2963022083 @default.
- W3047602308 cites W2963786950 @default.
- W3047602308 cites W2964133355 @default.
- W3047602308 cites W2969734526 @default.
- W3047602308 cites W2982593650 @default.
- W3047602308 cites W3000175145 @default.
- W3047602308 cites W3035537226 @default.
- W3047602308 cites W3080603222 @default.
- W3047602308 cites W3084900437 @default.
- W3047602308 cites W3099032737 @default.
- W3047602308 cites W3099177494 @default.
- W3047602308 cites W3099511185 @default.
- W3047602308 cites W3099902821 @default.
- W3047602308 cites W3101004335 @default.
- W3047602308 cites W3101169139 @default.
- W3047602308 cites W3101718537 @default.
- W3047602308 cites W3103018139 @default.
- W3047602308 cites W3103136137 @default.
- W3047602308 cites W3103945605 @default.
- W3047602308 cites W3104015804 @default.
- W3047602308 cites W3104318901 @default.
- W3047602308 cites W3104800576 @default.
- W3047602308 cites W3106134320 @default.
- W3047602308 cites W4229484577 @default.
- W3047602308 cites W4231165423 @default.
- W3047602308 cites W4253724858 @default.
- W3047602308 cites W4288935732 @default.
- W3047602308 cites W4300928735 @default.
- W3047602308 cites W630423399 @default.
- W3047602308 doi "https://doi.org/10.1103/physrevresearch.3.013211" @default.
- W3047602308 hasPublicationYear "2021" @default.
- W3047602308 type Work @default.
- W3047602308 sameAs 3047602308 @default.
- W3047602308 citedByCount "11" @default.
- W3047602308 countsByYear W30476023082021 @default.
- W3047602308 countsByYear W30476023082022 @default.
- W3047602308 countsByYear W30476023082023 @default.
- W3047602308 crossrefType "journal-article" @default.
- W3047602308 hasAuthorship W3047602308A5014193979 @default.
- W3047602308 hasAuthorship W3047602308A5019876056 @default.
- W3047602308 hasAuthorship W3047602308A5027757403 @default.
- W3047602308 hasAuthorship W3047602308A5050093240 @default.
- W3047602308 hasAuthorship W3047602308A5060430493 @default.
- W3047602308 hasBestOaLocation W30476023081 @default.
- W3047602308 hasConcept C118615104 @default.
- W3047602308 hasConcept C12089564 @default.