| 一个关于图谱的受控定理的推广 |
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| 引用本文： | 常安.一个关于图谱的受控定理的推广[J].数学研究,1998,31(4):370-375. |
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| 作者姓名： | 常安 |
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| 作者单位： | 福建福州大学数学系!福州，350002 |
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| 摘 要： | 本文将一个关于两个不交国的单点粘合的图的LPlaCe谱的受控定理推广到了两个国的多点粘合何形；同时证明了相同的结果对目的Q一回也成立。
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| 关 键 词： | 受控 图的Laplace谱 图的Q一谱 图的粘合 |
An Extention of a Majorization Theorem on Graph Spectrum |
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| Chang An.An Extention of a Majorization Theorem on Graph Spectrum[J].Journal of Mathematical Study,1998,31(4):370-375. |
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| Authors: | Chang An |
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| Abstract: | In this paper, a majorization theorem on the Laplacian spectrum of any single vertex coalescence of two disjoint graphs is extended to the case of the multiple vertex coalescence of two graphs. At the same time, if G is a graph, we prove that the same result holds for the matrix Q (G)=D(G) A(G) the sum between the diagonal matrix of vertex degrees and the adjaceney matrix. |
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| Keywords: | Majorization Laplacian spectrum and Q-spectrum of graphs coalescence of two graphs |
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