| 最大度和次大度相等的双星树由它的Laplacian谱确定 |
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| 引用本文： | 沈小玲,侯耀平.最大度和次大度相等的双星树由它的Laplacian谱确定[J].湖南师范大学自然科学学报,2007,30(3):22-25. |
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| 作者姓名： | 沈小玲 侯耀平 |
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| 作者单位： | 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 |
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| 基金项目： | 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) |
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| 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.
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| 关 键 词： | 图谱 同谱图 特征值 双星树 |
| 文章编号： | 1000-2537（2007）03-0022-04 |
| 修稿时间： | 2007-06-06 |
Double-Star Tree with Largest and Second Dergee Equal Determined by its Spectrum |
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| SHEN Xiao-ling,HOU Yao-ping.Double-Star Tree with Largest and Second Dergee Equal Determined by its Spectrum[J].Journal of Natural Science of Hunan Normal University,2007,30(3):22-25. |
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| Authors: | SHEN Xiao-ling HOU Yao-ping |
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| Institution: | 1. Journal House of Hunan Normal University, Changsha 410081, China ; 2. College of Mathematics and Computer Science, Hunan Normal University, Changsha 410081, China |
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| Abstract: | The question "which graphs are determined by their spectra?" originates form chemistry.Answering thequestion 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. |
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| Keywords: | spectrum of a graph cospectral graphs eigenvalue double-star tree |
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