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SOME PROPERTIES OF THE SPECTRUM OF GRAPHS
作者姓名:ChangAn
作者单位:Dept.ofMath.,FuzhouUniv.,Fujian350002.
摘    要:Let G be a graph and denote by Q(G)=D(G) A(G),L(G)=D(G)-A(G) the sum and the difference between the diagonal matrix of vertex degrees and the adjacency matrix of G,respectively. In this paper,some properties of the matrix Q(G)are studied. At the same time,anecessary and sufficient condition for the equality of the spectrum of Q(G) and L(G) is given.

关 键 词:光谱曲线图  基本性质  对角线  G矩阵  Q矩阵
收稿时间:7 July 1997

Some properties of the spectrum of graphs
ChangAn.SOME PROPERTIES OF THE SPECTRUM OF GRAPHS[J].Applied Mathematics A Journal of Chinese Universities,1999,14(1):103-107.
Authors:Chang An
Institution:(1) Dept. of Math., Fuzhou Univ., 350002 Fujian
Abstract:Let G be a graph and denote by Q(G)=D(G)+A(G), L(G)=D(G)−A(G) the sum and the difference between the diagonal matrix of vertex degrees and the adjacency matrix of G, respectively. In this paper, some properties of the matrix Q(G) are studied. At the same time, a necessary and sufficient condition for the equality of the spectrum of Q(G) and L(G) is given.
Keywords:05C50
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