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On the sth Laplacian eigenvalue of trees of order

✍ Scribed by Oscar Rojo

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
134 KB
Volume
425
Category
Article
ISSN
0024-3795

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The kth Laplacian eigenvalue of a tree
The kth Laplacian eigenvalue of a tree
✍ Ji-Ming Guo πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 102 KB

## Abstract Let Ξ»~__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