2-Walk Linear Graphs with Small Number of Cycles

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论文标题(中文)：

2-Walk Linear Graphs with Small Number of Cycles

作者：

FAN Qiong;QI Huan

通讯作者：

Huan Qi

作者机构：

[Huan Qi] Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, Hubei, China

School of Mathematics and Statistics, Huazhong Normal University, Wuhan, Hubei, China

[Qiong Fan] Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, Hubei, China<&wdkj&>School of Mathematics and Statistics, Huazhong Normal University, Wuhan, Hubei, China

通讯机构：

[Huan Qi] D

Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, Hubei, China

语种：

英文

关键词：

2-walk linear graphs;unicyclic graphs;bicyclic graphs;tricyclic graphs

期刊：

武汉大学自然科学学报(英文版)

ISSN：

1007-1202

年：

2010

卷：

期：

页码：

375-379

DOI：

10.1007/s11859-010-0669-8

基金类别：

Foundation item： Supported by the National Natural Science Foundation of China （10671081）

机构署名：

本校为其他机构

院系归属：

数学与统计学学院

摘要：

A graph has exactly two main eigenvalues if and only if it is a 2-walk linear graph. In this paper, we show some necessary conditions that a 2-walk (a, b)-linear graph must obey. Using these conditions and some basic theorems in graph theory, we characterize all 2-walk linear graphs with small cyclic graphs without pendants. The results are given in sort on unicyclic, bicyclic, tricyclic graphs. © 2010 Wuhan...

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