| 星图和最大度为3的似星树由它们的 Laplacian 谱确定 |
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| 引用本文： | 沈小玲,张远平.星图和最大度为3的似星树由它们的 Laplacian 谱确定[J].湖南师范大学自然科学学报,2005,28(1):17-20. |
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| 作者姓名： | 沈小玲 张远平 |
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| 作者单位： | 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： | 国家自然科学基金资助项目(10171037);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．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Caplacian谱确来定。
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| 关 键 词： | Laplacian谱 最大度 星图 研究结果 邻接 |
| 文章编号： | 1000-2537(2005)01-0017-04 |
| 修稿时间： | 2004年9月9日 |
The Star and All Starlike Trees with Largest Degree 3 Are Determined by Their Spectra |
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| SHEN Xiao-ling,ZHANG Yuan-ping.The Star and All Starlike Trees with Largest Degree 3 Are Determined by Their Spectra[J].Journal of Natural Science of Hunan Normal University,2005,28(1):17-20. |
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| Authors: | SHEN Xiao-ling ZHANG Yuan-ping |
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| Abstract: | 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. |
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| Keywords: | spectrum of a graph cospectral graphs eigenvalue starlike trees |
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