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章鱼图由Laplacian谱确定
引用本文:卢鹏丽. 章鱼图由Laplacian谱确定[J]. 宁夏大学学报(自然科学版), 2009, 30(3): 220-222
作者姓名:卢鹏丽
作者单位:兰州理工大学计算机与通信学院,甘肃兰州,730050
摘    要:如果与图G同谱的图都与G同构,则称图G由它的谱确定.重合星图K1,q的中心点和圈图Cn的一个点得到章鱼图.证明了这一类单圈图由Laplacian谱确定.

关 键 词:邻接谱  Laplacian谱  同谱图  单圈图  章鱼图

Octopus Graphs are Determined by Their Laplacian Spectra
Lu Pengli. Octopus Graphs are Determined by Their Laplacian Spectra[J]. Journal of Ningxia University(Natural Science Edition), 2009, 30(3): 220-222
Authors:Lu Pengli
Affiliation:Lu Pengli (School of Computer and Communication, Lanzhou University of Technology, Lanzhou 730050,China)
Abstract:A graph G is said to be determined by its spectrum if any graph having the same spectrum as G is isomorphic to G.The octopus graph is obtained from a cycle Cn and a star K1,q by identifying the center of K1,q with a vertex of Cn.It is proved that this class of unicyclic graphs are determined by their Laplacian spectra.
Keywords:adjacency spectrum  Laplacian spectrum  cospectral graphs  unicyclic graph  octopus graph
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