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LARGEST EIGENVALUE OF A UNICYCLIC MIXED GRAPH
作者姓名:FanYizheng
作者单位:Dept.ofMath.,NanjingNormalUniv.,Jiangsu210097,China
基金项目:Supported by the project item for young teachers of colleges and universities of Anhui province( 2 0 0 3jq1 0 1 ) and the project item of Anhui University for talents group construction
摘    要:The graphs which maximize and minimize respectively the largest eigenvalue over all unicyclic mixed graphs U on n vertices are determined. The unicyclic mixed graphs U with the largest eigenvalue λ1 (U)=n or λ1 (U)∈ (n ,n 1] are characterized.

关 键 词:特征值  单循环  图表  最值问题
收稿时间:24 March 2003

Largest eigenvalue of a unicyclic mixed graph
FanYizheng.LARGEST EIGENVALUE OF A UNICYCLIC MIXED GRAPH[J].Applied Mathematics A Journal of Chinese Universities,2004,19(2):140-148.
Authors:Fan Yizheng
Institution:(1) Dept. of Math., Nanjing Normal Univ., 210097 Jiangsu, China;(2) Dept. of Math., Anhui Univ., 230039 Anhui, China
Abstract:The graphs which maximize and minimize respectively the largest eigenvalue over all unicyclic mixed graphs U on n vertices are determined. The unicyclic mixed graphs U with the largest eigenvalue λ1(U)=n or λ1(U)ε(n,n+1) are characterized. Supported by the project item for young teachers of colleges and universities of Anhui province (2003jq101) and the project item of Anhui University for talents group construction.
Keywords:mixed graph  unicyclic graph  Laplacian eigenvalue  
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