| Maximizing Spectral Radius of Trees with Given Maximal Degree |
| Received:August 01, 2007 Revised:January 02, 2008 |
| Key Words:
trees maximal degree Laplacian eigenvalue adjacency eigenvalue spectral radius.
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| Fund Project:the National Natural Science Foundation of China (No.10601001); the Natural Science Foundation of Anhui Province (Nos.050460102; 070412065); Natural Science Foundation of Department of Education of Anhui Province (No.2005kj005zd); Project of Anhui Univers |
| Author Name | Affiliation | | FAN Yi Zheng | Key Laboratory of Intelligent Computing \& Signal Processing, Ministry of Education of the People's Republic of China, Anhui University, Anhui 230039, China
School of Mathematical Sciences, Anhui University, Anhui 230039, China | | ZHU Ming | School of Mathematical Sciences, Anhui University, Anhui 230039, China |
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| Abstract: |
| In this paper, we characterize the trees with the largest Laplacian and adjacency spectral radii among all trees with fixed number of vertices and fixed maximal degree, respectively. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2009.05.005 |
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