๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On the sum of the Laplacian eigenvalues of a tree

โœ Scribed by Eliseu Fritscher; Carlos Hoppen; Israel Rocha; Vilmar Trevisan

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
872 KB
Volume
435
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

On the sum of Laplacian eigenvalues of g
On the sum of Laplacian eigenvalues of graphs
โœ W.H. Haemers; A. Mohammadian; B. Tayfeh-Rezaie ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 158 KB
The kth Laplacian eigenvalue of a tree
The kth Laplacian eigenvalue of a tree
โœ Ji-Ming Guo ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 102 KB

## Abstract Let ฮป~__k__~(__G__) be the __k__th Laplacian eigenvalue of a graph __G__. It is shown that a tree __T__ with __n__ vertices has $\lambda\_{k}(T)\le \lceil { {n}\over{k}}\rceil$ and that equality holds if and only if __k__ < __n__, __k__|__n__ and __T__ is spanned by __k__ vertex disjoin