An elementary upper bound on the loading of a largest claims reinsurance cover
β Scribed by Erhard Kremer
- Publisher
- Springer-Verlag
- Year
- 2001
- Tongue
- German
- Weight
- 134 KB
- Volume
- 25
- Category
- Article
- ISSN
- 1864-0281
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract A graph is point determining if distinct vertices have distinct neighborhoods. The nucleus of a pointβdetermining graph is the set __G__^O^ of all vertices, __v__, such that __G__β__v__ is point determining. In this paper we show that the size, Ο(__G__), of a maximum clique in __G__ sat
## Abstract We produce in this paper an upper bound for the number of vertices existing in a clique of maximum cardinal. The proof is based in particular on the existence of a maximum cardinal clique that contains no vertex __x__ such that the neighborhood of __x__ is contained in the neighborhood
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