{"title":"Matrix functions in network analysis","authors":"Michele Benzi, Paola Boito","doi":"10.1002/gamm.202000012","DOIUrl":null,"url":null,"abstract":"<p>We review the recent use of functions of matrices in the analysis of graphs and networks, with special focus on centrality and communicability measures and diffusion processes. Both undirected and directed networks are considered, as well as dynamic (temporal) networks. Computational issues are also addressed.</p>","PeriodicalId":53634,"journal":{"name":"GAMM Mitteilungen","volume":"43 3","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2020-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"34","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"GAMM Mitteilungen","FirstCategoryId":"1085","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/gamm.202000012","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 34
Abstract
We review the recent use of functions of matrices in the analysis of graphs and networks, with special focus on centrality and communicability measures and diffusion processes. Both undirected and directed networks are considered, as well as dynamic (temporal) networks. Computational issues are also addressed.