最大度和次大度相等的双星树由它的Laplacian谱确定  

Double-Star Tree with Largest and Second Dergee Equal Determined by its Spectrum

作　　者：沈小玲[1] 侯耀平[2] 

机构地区：[1]湖南师范大学期刊社,中国长沙410081 [2]湖南师范大学数学与计算机科学学院,中国长沙410081

出　　处：《湖南师范大学自然科学学报》2007年第3期22-25,共4页Journal of Natural Science of Hunan Normal University

基　　金：国家自然科学基金(10471037);湖南省教育厅科学研究基金资助项目(03B019)

摘　　要：哪些图由它的谱确定问题起源于化学.对于该问题特别是"哪些图由它的邻接谱或Laplacian谱确定?"的研究结果目前还不多.本文主要证明了一类最大度和次大度相等的双星树由它的Laplacian谱确定.The question ＂which graphs are determined by their spectra？＂ originates form chemistry. Answering the- question for adjacency of Laplacian matrix.seems out of reach. It is proved that double-starlike tree with the largest degree and the second degree equal is determined by its Laplacian sepctrum.

关 键 词：图谱 同谱图 特征值 双星树 

分 类 号：O151.21[理学—数学]