Back to Search
Start Over
On the (Laplacian) spectral radius of weighted trees with fixed matching number q and a positive weight set
- Source :
-
Linear Algebra & its Applications . Sep2011, Vol. 435 Issue 6, p1202-1212. 11p. - Publication Year :
- 2011
-
Abstract
- Abstract: Denote by the set of n-vertex weighted trees with matching number q and fixed positive weight set , where . Tan [S.W. Tan, On the sharp upper bound of spectral radius of weighted trees, J. Math. Res. Exposition 29 (2009) 293–301] determined the weighted tree in with the largest adjacent spectral radius , whereas in [S.W. Tan, On the Laplacian spectral radius of weighted trees with a positive weight set, Discrete Math. 310 (2010) 1026–1036] Tan determined the weighted tree in with the largest Laplacian spectral radius. In this paper, we use a unified approach to identify the unique weighted tree in with the largest adjacent spectral radius and largest Laplacian spectral radius, respectively. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 00243795
- Volume :
- 435
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Linear Algebra & its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 61259165
- Full Text :
- https://doi.org/10.1016/j.laa.2011.03.010