On the spectral radius of bipartite graphs

被引:0
作者
Fan, Dandan [1 ]
Wang, Guoping [1 ]
Zao, Yuying [1 ]
机构
[1] Xinjiang Normal Univ, Sch Math Sci, Urumqi 830054, Xinjiang, Peoples R China
关键词
Spectral radius; Matching number; Vertex connectivity; LAPLACIAN;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The adjacency matrix A(G) of a graph G is the n x n matrix with its (i, j)-entry equal to 1 if u(i) and u(j) are adjacent, and 0 otherwise. The spectral radius of G is the largest eigenvalue of A(G). In this paper we determine the graph with maximum spectral radius among all connected bipartite graphs of order n with a given matching number and a given vertex connectivity, respectively.
引用
收藏
页码:3 / 12
页数:10
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