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On the Largest Eigenvalue of Signless Laplacian Matrix of a Graph 被引量：4

On the Largest Eigenvalue of Signless Laplacian Matrix of a Graph
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摘要 The signless Laplacian matrix of a graph is the sum of its diagonal matrix of vertex degrees and its adjacency matrix. Li and Feng gave some basic results on the largest eigenvalue and characteristic polynomial of adjacency matrix of a graph in 1979. In this paper, we translate these results into the signless Laplacian matrix of a graph and obtain the similar results. The signless Laplacian matrix of a graph is the sum of its diagonal matrix of vertex degrees and its adjacency matrix. Li and Feng gave some basic results on the largest eigenvalue and characteristic polynomial of adjacency matrix of a graph in 1979. In this paper, we translate these results into the signless Laplacian matrix of a graph and obtain the similar results.
作者 TAN Shang Wang WANG Xing Ke
机构地区 Department of Applied Mathematics
出处 《Journal of Mathematical Research and Exposition》 CSCD 2009年第3期381-390,共10页 数学研究与评论（英文版）
基金 Foundation item： the National Natural Science Foundation of China （No. 10871204） Graduate Innovation Foundation of China University of Petroleum （No. S2008-26）.
关键词 signless Laplacian matrix characteristic polynomial largest eigenvalue signless Laplacian matrix characteristic polynomial largest eigenvalue
分类号 O157.5 [理学—基础数学] O151.21 [理学—基础数学]
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参考文献7

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同被引文献33

  • 1袁西英,吴宝丰,肖恩利.树的运算及其Laplace谱[J].华东师范大学学报（自然科学版）,2004(2):13-18. 被引量：5
  • 2顾新,李久平,王维成.知识流动、知识链与知识链管理[J].软科学,2006,20(2):10-12. 被引量：82
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  • 6Guo Jiming.A new upper bound for the Laplacian spectral radius of graphs[J].Linear Algebra Appl,2005,400:61-66.
  • 7Li Jiongsheng,Zhang Xiaodong.On Laplacian eigenvalues of a graph[J].Linear Algebra Appl,1998,285:305-307.
  • 8Cvekovic D M,Rowlinson P,Simic S K.Singless Laplacians of finite graphs[J].Linear Algebra Appl,2007,423:155-171,226-235.
  • 9Cardoso D M,Cretkovic D M,Rowlinson P,et al.A sharp lower bound for the least eigenvalue of the signless Laplacian of a non-bipartite graph[J].Linear Algebra Appl,2008,429:2770-2780.
  • 10Belardo F,Marzi E M L,Simic S K.Some results on the index of unicyclic graph[J].Linear Algebra Appl,2006,416:1048-1059.

引证文献4

二级引证文献9

Journal of Mathematical Research and Exposition
2009年 第3期

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