特征向量
数学
乳腺癌
组合数学
极限(数学)
邻接矩阵
医学
癌症
物理
内科学
数学分析
图形
量子力学
作者
Anieta M. Sieuwerts,Look,Marion E. Meijer–van Gelder,Mieke Timmermans,H. Portengen,J.G.M. Klijn,J.A. Foekens
出处
期刊:Ejc Supplements
日期:2006-03-01
卷期号:4 (2): 130-130
标识
DOI:10.1016/s1359-6349(06)80304-6
摘要
The study of limit points of eigenvalues of adjacency matrices of graphs was initiated by Hoffman [A.J. Hoffman, On limit points of spectral radii of non-negative symmetric integral matrices, in: Y. Alavi et al. (Eds.), Lecture Notes Math., vol. 303, Springer-Verlag, Berlin, Heidelberg, New York, 1972, pp. 165–172]. There he described all of the limit points of the largest eigenvalue of adjacency matrices of graphs that are no more than 2+5. In this paper, we investigate limit points of Laplacian spectral radii of graphs. The result is obtained: Let ω=1319+3333+19-3333+1, β0=1 and βn(n⩾1) be the largest positive root ofLet αn=2+βn12+βn-12. Thenare all of the limit points of Laplacian spectral radii of graphs smaller than limn→∞αn=2+ω+ω-1(=4.38+).
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