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恰有两个主特征值的树 被引量:19

Trees with Exactly Two Main Eigenvalues
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摘要  图的一个特征值称为主特征值,如果图有一个相应于该特征值的其各分量之和不为零的特征向量.给出了恰有两个主特征值的所有树. An eigenvalue of a graph is main if it has an eigenvector the sum of whose entries is not equal to zero, all trees with exactly two main eigenvalues have been characterized.
出处 《湖南师范大学自然科学学报》 EI CAS 北大核心 2005年第2期1-3,26,共4页 Journal of Natural Science of Hunan Normal University
基金 国家自然科学基金资助项目(10471037) 湖南省教育厅科研资助项目(03B019)
关键词 图谱 主特征值 度线性图 Eigenvalues and eigenfunctions Natural sciences
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参考文献6

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同被引文献58

  • 1Lepovic M. On integral graphs which belong to the class αKuUβb[J].J Appl Math 8-Computing, 2004,14:39- 49.
  • 2Lepovic M. On integral graphs which belong to the class αKa,b[J]. Graphs and Combinatorics,2003.19:527-532.
  • 3Lepovic M. On integral graphs which belong to the class αKuUβKb,b[J]. Discrete Mathematics. 2004. 285: 183- 190.
  • 4Lepovic 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.
  • 5Lepovic M. On integral graphs which belong to the class αKuUβb[J]. J Appl Math & Computing,2006,20:61- 74.
  • 6柳柏濂.维合矩阵论[M].北京:科学出版社,2005.10-50.
  • 7Lepovic M. Some results on graphs wilh exactly tow main eigenvalues[J]. Univ P, eogra Publ Elektro-tehn (Ser. Mat), 2001,12:68-84.
  • 8Lepovic M.Some results on graphs with exactly two main eigenvalues[J].Univ.Beogra Publ.Elektro-tehn.(Ser.Mat),2001,12(2):68-84.
  • 9Lepovic M.On integral graphs which belong to the class  ̄αKa∪βKb[J].J.Appl.Math.& Computing,2004,14(1-2):39-49.
  • 10Lepovic M.On integral graphs which belong to the class  ̄αKa,b[J].Graphs and Combinatorics,2003,19:527-532.

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