## 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
The Kth largest eigenvalue of a tree
โ Scribed by Hong Yuan
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 214 KB
- Volume
- 73
- Category
- Article
- ISSN
- 0024-3795
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