{"title":"二部双环图的拉普拉斯系数","authors":"He Changxiang","doi":"10.11845/SXJZ.20130608","DOIUrl":null,"url":null,"abstract":"The Laplacian coefficients of bipartite bicyclic graphs were investigated.All the bipartite bicyclic graphs were classified into three categories.The graph with the smallest k-th coefficient of each category was obtained by using α-transform and Laplacian characteristic polynominal of the graph,and then the graph with the smallest k-th coefficient among all bipartite bicyclic graphs of order n was obtained by using Laplacian characteristic polynominal of the graph.","PeriodicalId":17520,"journal":{"name":"Journal of the University of Shanghai for Science and Technology","volume":"103 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2013-12-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On Laplacian Coefficients of Bipartite Bicyclic Graphs\",\"authors\":\"He Changxiang\",\"doi\":\"10.11845/SXJZ.20130608\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The Laplacian coefficients of bipartite bicyclic graphs were investigated.All the bipartite bicyclic graphs were classified into three categories.The graph with the smallest k-th coefficient of each category was obtained by using α-transform and Laplacian characteristic polynominal of the graph,and then the graph with the smallest k-th coefficient among all bipartite bicyclic graphs of order n was obtained by using Laplacian characteristic polynominal of the graph.\",\"PeriodicalId\":17520,\"journal\":{\"name\":\"Journal of the University of Shanghai for Science and Technology\",\"volume\":\"103 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-12-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of the University of Shanghai for Science and Technology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.11845/SXJZ.20130608\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the University of Shanghai for Science and Technology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.11845/SXJZ.20130608","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On Laplacian Coefficients of Bipartite Bicyclic Graphs
The Laplacian coefficients of bipartite bicyclic graphs were investigated.All the bipartite bicyclic graphs were classified into three categories.The graph with the smallest k-th coefficient of each category was obtained by using α-transform and Laplacian characteristic polynominal of the graph,and then the graph with the smallest k-th coefficient among all bipartite bicyclic graphs of order n was obtained by using Laplacian characteristic polynominal of the graph.
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