{"title":"福尔曼-里奇曲率锦标赛","authors":"M. Paredes","doi":"10.18359/rfcb.5852","DOIUrl":null,"url":null,"abstract":"tournaments are a type of directed graph which have been used to study the geometry of classical flag manifolds. We became interested in this type of graphs because the combinatorial properties of tournaments can be used to study geometric properties of the flag manifolds. [21]introduced the Forman-Ricci curvature for directed and undirected hypergraphs and obtained the curvature for graphs as a particular case. In this work we present the basic ideas about the Forman- Ricci curvature for directed graphs, characterize the parabolic tournaments in terms of Forman-Ricci curvature and calculate the Forman-Ricci curvature for any tournament.","PeriodicalId":106330,"journal":{"name":"Revista Facultad de Ciencias Básicas","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Forman-Ricci curvature of tournaments\",\"authors\":\"M. Paredes\",\"doi\":\"10.18359/rfcb.5852\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"tournaments are a type of directed graph which have been used to study the geometry of classical flag manifolds. We became interested in this type of graphs because the combinatorial properties of tournaments can be used to study geometric properties of the flag manifolds. [21]introduced the Forman-Ricci curvature for directed and undirected hypergraphs and obtained the curvature for graphs as a particular case. In this work we present the basic ideas about the Forman- Ricci curvature for directed graphs, characterize the parabolic tournaments in terms of Forman-Ricci curvature and calculate the Forman-Ricci curvature for any tournament.\",\"PeriodicalId\":106330,\"journal\":{\"name\":\"Revista Facultad de Ciencias Básicas\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-06-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Revista Facultad de Ciencias Básicas\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.18359/rfcb.5852\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Revista Facultad de Ciencias Básicas","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.18359/rfcb.5852","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
tournaments are a type of directed graph which have been used to study the geometry of classical flag manifolds. We became interested in this type of graphs because the combinatorial properties of tournaments can be used to study geometric properties of the flag manifolds. [21]introduced the Forman-Ricci curvature for directed and undirected hypergraphs and obtained the curvature for graphs as a particular case. In this work we present the basic ideas about the Forman- Ricci curvature for directed graphs, characterize the parabolic tournaments in terms of Forman-Ricci curvature and calculate the Forman-Ricci curvature for any tournament.
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