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关于图的Laplace谱部分和的上界 被引量:1

On upper bound of partial sum of Laplacian spectrum of graphs
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摘要 利用度序列得到了一般简单图的Laplace谱部分和的一个上界. An upper bound of the partial sum of the Laplacian spectrum of graphs is obtained by using the degree sequence.
出处 《天津师范大学学报(自然科学版)》 CAS 2012年第4期6-10,共5页 Journal of Tianjin Normal University:Natural Science Edition
基金 国家自然科学基金资助项目(61103073)
关键词 LAPLACE谱 部分和 上界 Laplacian spectrum partial sum upper bound
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参考文献9

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二级参考文献10

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共引文献10

同被引文献7

  • 1BONDY J A, MURTY U S. Graph theory with applications[M]. London: The Macmillan Press LTD, 1976.
  • 2CARDOSO D M, CVETKOVI'C D, ROWLINSON Peter. A sharp lower bound for the least eigenvalue of the signless Lapla- cian of a non-bipartite graph[ J ]. Linear Algebra and Its Applications, 2008, 429:2770-2780.
  • 3OLIVEIRA C S, LIMA L S, ABREU N M, et al. Bounds on the index of the signless Laplacian of a graphE J]. Discrete Appl Math, 2010, 158:355-360.
  • 4DILEK MADEN A, CH. DAS Kinkar. Sharp upper bounds on the spectral radius of the signless Laplacian matrix of a graph E J]. Applied Mathematics and Computation, 2013, 219:5025-5032.
  • 5LIMA L S, NIKIFOROV V. On the second largest eigenvalue of the signless LaplacianE J]. Linear Algebra and Its Applica- tions, 2013, 438(3):1215-1222.
  • 6EBRAHIMI J, MOHAR B, NIKIFOROV V. On the sum of two largest eigenvalues of a symmetric matrix[ J]. Linear Algebra and Its Applications, 2008, 429(11/12) :2781-2787.
  • 7MOHAR B. On the sum of k largest eigenvalues of graphs and symmetric matrices[J]. J Combin Theory Ser. B, 2008:306- 313.

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