{"title":"论图的连接和电晕的分数匹配数","authors":"Arcie S. Nogra, M. P. Baldado","doi":"10.12988/imf.2019.9418","DOIUrl":null,"url":null,"abstract":"A fractional matching of a graph G = (V,E) is a function f from E to the interval [0, 1] such that ∑ e∈Γ(v) f(e) ≤ 1 for every v ∈ V , where Γ(v) is the set of all edges incident to v. The fractional matching number of G, written α′ ∗(G), is the maximum of ∑ e∈E f(e) over all fractional matchings f . In this paper, we gave the fractional matching number of the join of some graphs, and the corona of some graphs. Mathematics Subject Classification: 05C70 Keyword: integral matching number, fractional matching number, join, corona","PeriodicalId":107214,"journal":{"name":"International Mathematical Forum","volume":"36 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the fractional matching number of the join and corona of graphs\",\"authors\":\"Arcie S. Nogra, M. P. Baldado\",\"doi\":\"10.12988/imf.2019.9418\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A fractional matching of a graph G = (V,E) is a function f from E to the interval [0, 1] such that ∑ e∈Γ(v) f(e) ≤ 1 for every v ∈ V , where Γ(v) is the set of all edges incident to v. The fractional matching number of G, written α′ ∗(G), is the maximum of ∑ e∈E f(e) over all fractional matchings f . In this paper, we gave the fractional matching number of the join of some graphs, and the corona of some graphs. Mathematics Subject Classification: 05C70 Keyword: integral matching number, fractional matching number, join, corona\",\"PeriodicalId\":107214,\"journal\":{\"name\":\"International Mathematical Forum\",\"volume\":\"36 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Mathematical Forum\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12988/imf.2019.9418\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Mathematical Forum","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12988/imf.2019.9418","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On the fractional matching number of the join and corona of graphs
A fractional matching of a graph G = (V,E) is a function f from E to the interval [0, 1] such that ∑ e∈Γ(v) f(e) ≤ 1 for every v ∈ V , where Γ(v) is the set of all edges incident to v. The fractional matching number of G, written α′ ∗(G), is the maximum of ∑ e∈E f(e) over all fractional matchings f . In this paper, we gave the fractional matching number of the join of some graphs, and the corona of some graphs. Mathematics Subject Classification: 05C70 Keyword: integral matching number, fractional matching number, join, corona
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