星图和最大度为3的似星树由它们的Laplacian谱确定  

The Star and All Starlike Trees with Largest Degree 3 Are Determined by Their Spectra

作　　者：沈小玲[1] 张远平[1] 

机构地区：[1]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》2005年第1期17-20,共4页Journal of Natural Science of Hunan Normal University

基　　金：国家自然科学基金资助项目(10171037);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.我们证明了两类特殊的树———星图和所有最大度为3的似星树能由它们的Laplacian谱确来定.The question 'which graphs are determined by their spectra' originates from chemistry. Answering the question for adjacency or Laplacian matrices seems out of research. In this paper we prove that two special structure trees - the star and starlike trees with largest degree 3 are determined by their Laplacian spectra.

关 键 词：LAPLACIAN谱 最大度 星图 研究结果 邻接 

分 类 号：O157.5[理学—数学] N1[理学—基础数学]