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图的谱半径的上界(英文) 被引量:2

Upper Bound on Spectral Radius of Graphs
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摘要 利用组合矩阵方法 ,精细地刻画出连通图的最小度与谱半径的上界之间的关系 ,在一定条件下改进了以前的一个结果。 By the means of combinatorial matrix,the relation between minimum degree of connected graph and upper bound of spectral radius was carefully depicted.In some conditions,the previous result was improved.
作者 扈生彪
出处 《河北大学学报(自然科学版)》 CAS 2000年第3期232-234,共3页 Journal of Hebei University(Natural Science Edition)
基金 TheprojectsupportedbyNaturalScienceFoundationofQinghaiProvince(200008)
关键词 (0 1)-矩阵 谱半径 连通图 上界 matrices spectral radius connected graph
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参考文献3

  • 1HONG Yuan. Bound on spectral radius of graphs[M]. Linear Algebra Appl, 1998, 108: 135-139.
  • 2RICHARD A. BRUALDI. Combinatorial matrix theory[M]. New York: Sndicateol Combridge University Press, 1991.
  • 3BIU Bo-lian. Combinatorial matrix theory[M]. Beijing: Science Press, 1996.

同被引文献24

  • 1李秀兰.图与其补图的谱半径之间的关系[J].华北工学院学报,1996,17(4):297-299. 被引量:9
  • 2Cao D S. Bounds on eigenvalues and chromatic numbers[J]. Linear Algebra Appl, 1998(270): 1-13.
  • 3Hong Y. A bound on tile spectral radius of graph in terms of genus[J]. J Combin Theory Ser B, 1998(74): 153-159.
  • 4Hong Y, Shu J L, Fang K F. A sharp upper bound of the spectral radius of graphs[J]. J Combin Theory Ser B, 2001(81): 177-183.
  • 5Stanley R P. A bound on the spectral radius of graphs with c edges[J]. Linear Algebra Appl, 1987(87): 267-269.
  • 6Cvetkovic D M, Doob M, Sachs H. Spectral of Graph: Theory and Applications[M]. New York: Academic Press, 1980.
  • 7Horm R A, Johnson C R. Matrix Analysis[M]. Cambridge University Press, New York, 1985.
  • 8Ellingham M N and Zha X. The spectral radius of graphs on surface[J]. J Combin Theory Ser B, 2000(78): 45-56.
  • 9Cao D S. Bounds on eigenvalues and chromatic numbers[J]. Linear Algebra Appl,1998(270): 1-13.
  • 10Kinkar Ch. Das, Some new bounds on the spectral radius of graphs[J]. Discrete Mathematics, 2004(281): 149-161.

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