期刊文献+

图类■中的整谱图

On Integral Graphs Which Belong to the Class ■
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摘要 设图G是一个简单图,图G的补图记为-G,如果G的谱都是整数,就称G是整谱图.鸡尾酒会图CP(n)=K2n-nK2(K2n是2n阶完全图)和完全图Ka都是整谱图[1].本文确定了图类■中的所有整谱图. Let G he a simple graph and let G denote its complement. A graph G is called integral if its spectrum consists entirely of integers. Cocktail party graphs CP(n)=K2n-nK2 and complete graphs Kα all are integral graphs^[1]. This paper determines all the integral graphs of ^-αKα∪βCP(b).
出处 《大学数学》 2010年第2期113-117,共5页 College Mathematics
基金 湖南省教育厅科学研究资助项目(06A037)
关键词 整谱图 主特征值 丢番图方程 鸡尾酒会图 完全图 integral graphs main eigenvalues Diophantion equation Cocktail party graphs complete graphs
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参考文献7

  • 1侯耀平,周后卿.恰有两个主特征值的树[J].湖南师范大学自然科学学报,2005,28(2):1-3. 被引量:19
  • 2Lepovic M.Some results on graphs with exactly two main eigenvalues[J].Univ.Beogra Publ.Elektro-tehn.(Ser.Mat),2001,12(2):68-84.
  • 3Lepovic M.On integral graphs which belong to the class  ̄αKa∪βKb[J].J.Appl.Math.& Computing,2004,14(1-2):39-49.
  • 4Lepovic M.On integral graphs which belong to the class  ̄αKa,b[J].Graphs and Combinatorics,2003,19:527-532.
  • 5Lepovic M.On integral graphs which belong to the class  ̄αKa∪βKb,b[J].Discrete Mathematics,2004,285:183-190.
  • 6Lepovic M.On integral graphs which belong to the class  ̄αKa,a,...,a,b,b...,b[J].Univ.Beograd.Publ.Fak.Ser.Mat.,2006,17:52-59.
  • 7Lepovic M.On integral graphs which belong to the class  ̄αKa,a∪βKb,b[J].J.Appl.Math.& Computing,2006,20(1-2):61-74.

二级参考文献6

  • 1CVETKOVI(C) D, FOWLER P W. A group-theoretical bound for the number of main eigenvalues of a graph[ J]. J Chem inf Comput Sci,1999,39:638-641.
  • 2CVETKOVI(C) D, ROWLINSON P, SIMIC S. Eigenspaces of graphs[M]. Cambrige: Cambridge University Press, 1997.
  • 3HAGOS E M. Some results on graph spectra[J]. Linear Algebra and Its Applications,2002,356:103-111.
  • 4LEPOVIC(C) M. A note on graphs with two main eigenvalues[J]. Kragujevac J Math, 2002, (24) :43-53.
  • 5CVETKOVIC D, DOOB M, SACHS H. Spectra of graphs:Theory and applications, 3rd revised and enlarged edition[ M]. Heidelberg,Leipzig: Barth, 1995.
  • 6GR(U)NEWALD S. Harmonic trees[J]. Appl Math Letters, 2004,15(8): 1 001-1 004.

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