BOUNDS OF SPECTRAL RADII OF K-2,K-3-MINOR FREE GRAPHS

作者:Yu, Guanglong*; Shu, Jinlong; Hong, Yuan
来源:Electronic Journal of Linear Algebra, 2012, 23: 171-179.
DOI:10.13001/1081-3810.1513

摘要

Let A(G) be the adjacency matrix of a graph G. The largest eigenvalue of A(G) is called spectral radius of G. In this paper, an upper bound of spectral radii of K-2,K-3-minor free graphs with order n is shown to be 3/2 root n - 7/4. In order to prove this upper bound, a structural characterization of K-2,K-3-minor free graphs is presented in this paper.