{"title":"完全不连通星补的有符号图","authors":"Z. Stanić","doi":"10.33044/REVUMA.1480","DOIUrl":null,"url":null,"abstract":". We are interested in a signed graph ˙ G which admits a decomposition into a totally disconnected (i.e., without edges) star complement and a signed graph ˙ S induced by the star set. In this study we derive certain properties of ˙ G ; for example, we prove that the number of (distinct) eigenvalues of ˙ S does not exceed the number of those of ˙ G . Some particular cases are also considered.","PeriodicalId":54469,"journal":{"name":"Revista De La Union Matematica Argentina","volume":" ","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2021-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Signed graphs with totally disconnected star complements\",\"authors\":\"Z. Stanić\",\"doi\":\"10.33044/REVUMA.1480\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". We are interested in a signed graph ˙ G which admits a decomposition into a totally disconnected (i.e., without edges) star complement and a signed graph ˙ S induced by the star set. In this study we derive certain properties of ˙ G ; for example, we prove that the number of (distinct) eigenvalues of ˙ S does not exceed the number of those of ˙ G . Some particular cases are also considered.\",\"PeriodicalId\":54469,\"journal\":{\"name\":\"Revista De La Union Matematica Argentina\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2021-03-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Revista De La Union Matematica Argentina\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.33044/REVUMA.1480\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Revista De La Union Matematica Argentina","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.33044/REVUMA.1480","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
Signed graphs with totally disconnected star complements
. We are interested in a signed graph ˙ G which admits a decomposition into a totally disconnected (i.e., without edges) star complement and a signed graph ˙ S induced by the star set. In this study we derive certain properties of ˙ G ; for example, we prove that the number of (distinct) eigenvalues of ˙ S does not exceed the number of those of ˙ G . Some particular cases are also considered.
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Revista de la Unión Matemática Argentina is an open access journal, free of charge for both authors and readers. We publish original research articles in all areas of pure and applied mathematics.
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