文献类型：期刊文献

英文题名：On the Laplacian, signless Laplacian and normalized Laplacian characteristic polynomials of a graph

作者：Guo, Ji-Ming[1];Li, Jianxi[2];Shiu, Wai Chee[3]

机构：[1]E China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China;[2]Minnan Normal Univ, Sch Math & Stat, Zhangzhou, Fujian, Peoples R China;[3]Hong Kong Baptist Univ, Dept Math, Kowloon, Hong Kong, Peoples R China

年份：2013

卷号：63

期号：3

起止页码：701

外文期刊名：CZECHOSLOVAK MATHEMATICAL JOURNAL

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000326895800009)】；

基金：The research has been supported by NSF of China (Nos. 11371372, 61170311); NSF of Fujian (Nos. 2011J05014, 2011J01026); Project of Fujian Education Department (No. JA11165); General Research Fund of Hong Kong; FRG of Hong Kong Baptist University.

语种：英文

外文关键词：Laplacian matrix; signless Laplacian matrix; normalized Laplacian matrix; characteristic polynomial

摘要：The Laplacian, signless Laplacian and normalized Laplacian characteristic polynomials of a graph are the characteristic polynomials of its Laplacian matrix, signless Laplacian matrix and normalized Laplacian matrix, respectively. In this paper, we mainly derive six reduction procedures on the Laplacian, signless Laplacian and normalized Laplacian characteristic polynomials of a graph which can be used to construct larger Laplacian, signless Laplacian and normalized Laplacian cospectral graphs, respectively.