An upper bound for the largest eigenvalue of a graph: Effect of types of vertices
✍ Scribed by Lemi Türker
- Publisher
- Springer
- Year
- 1992
- Tongue
- English
- Weight
- 423 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0259-9791
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
We consider weighted graphs, where the edge weights are positive definite matrices. The Laplacian of the graph is defined in the usual way. We obtain an upper bound on the largest eigenvalue of the Laplacian and characterize graphs for which the bound is attained. The classical bound of Anderson and
## Abstract A graph is point determining if distinct vertices have distinct neighborhoods. The nucleus of a point‐determining graph is the set __G__^O^ of all vertices, __v__, such that __G__–__v__ is point determining. In this paper we show that the size, ω(__G__), of a maximum clique in __G__ sat