We prove that, in a random graph with n vertices and N = cn log n edges, the subgraph generated by a set of all vertices of degree at least k + 1 is k-leaf connected for c > f . A threshold function for k-leaf connectivity is also found. ## 1. MAIN RESULTS Let G = (V(G),E(G)) be a graph, where V (
Size and connectivity of the k-core of a random graph
✍ Scribed by Tomasz Łuczak
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 467 KB
- Volume
- 91
- Category
- Article
- ISSN
- 0012-365X
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