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Non-bipartite Graphs with Third Largest Laplacian Eigenvalue Less Than Three
作者姓名:Xiao  Dong  ZHANG  Rong  LUO
作者单位:[1]Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200030, P. R. China [2]Department of Mathematical Sciences, Middle Tennessee State University Murfreesboro, TN 37132, USA
摘    要:

关 键 词:光谱图理论  Laplacian特征值  禁戒子图  双向图  图论
收稿时间:2004-03-30
修稿时间:2004-03-302005-12-19

Non–bipartite Graphs with Third Largest Laplacian Eigenvalue Less Than Three
Xiao Dong ZHANG Rong LUO.Non-bipartite Graphs with Third Largest Laplacian Eigenvalue Less Than Three[J].Acta Mathematica Sinica,2006,22(3):917-934.
Authors:Xiao Dong Zhang  Rong Luo
Affiliation:(1) Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200030, P. R. China;(2) Department of Mathematical Sciences, Middle Tennessee State University, Murfreesboro, TN 37132, USA
Abstract:All bipartite graphs whose third largest Laplacian eigenvalue is less than 3 have been characterized by Zhang. In this paper, all connected non-bipartite graphs with third largest Laplacian eigenvalue less than three are determined.
Keywords:spectral graph theory  Laplacian eigenvalue  forbidden subgraph
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