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子图匹配数与图无符号拉普拉斯谱(英文)
引用本文:余桂东,叶淼林.子图匹配数与图无符号拉普拉斯谱(英文)[J].应用数学,2012,25(3):603-607.
作者姓名:余桂东  叶淼林
作者单位:1. 安徽大学数学科学学院,安徽合肥230039;安庆师范学院数学与计算科学学院,安徽安庆246011
2. 安庆师范学院数学与计算科学学院,安徽安庆,246011
基金项目:Supported by the NSF of Department of Education of Anhui Province(KJ2011A195);the Innovation Fund for Graduates of Anhui University;the Anhui Provincial Natural Science Foundation(11040606M14)
摘    要:设H是图G的一个子图.图G中同构于H的点不交的子图构成的集合称为G的一个H-匹配.图G的H-匹配的最大基数称为是G的H-匹配数,记为ν(H,G).本文主要研究ν(H,G)与G的无符号拉普拉斯谱的关系,同时也讨论了ν(H,G)与G的拉普拉斯谱的关系.

关 键 词:  无符号拉普拉斯谱  子图匹配  拉普拉斯谱

Subgraphs Matching Number and Signless Laplacian Spectra of Graphs
YU Guidong , YE Miaolin.Subgraphs Matching Number and Signless Laplacian Spectra of Graphs[J].Mathematica Applicata,2012,25(3):603-607.
Authors:YU Guidong  YE Miaolin
Institution:1.School of Mathematical Sciences,Anhui University,Hefei 230039,China;2.School of Mathematics & Computation Sciences,Anqing Normal College,Anqing 246011,China)
Abstract:Let G be a graph and H be a subgraph of G.A set of pairwise independent subgraphs G that are all isomorphic to copies of H is called an H-matching of G.The maximum cardinality of an H-matching is called the H-matching number of G and is denoted by ν(H,G).In this paper we investigate some relations between ν(H,G) and signless Laplacian spectrum of G.By a similar discussion we also get some relations between ν(H,G) and Laplacian spectrum of G.
Keywords:Graph  Signless Laplacian spectrum  Subgraph matching  Laplacian spectrum
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