This paper looks at random regular simple graphs and considers nearest neighbor random walks on such graphs. This paper considers walks where the degree d of each vertex is around (logn)", where a is a constant which is at least 2 and where n is the number of vertices. By extending techniques of Dou
On a method for random graphs
✍ Scribed by Zbigniew Palka; Andrzej Rucinśki; Joel Spencer
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 293 KB
- Volume
- 61
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
✦ Synopsis
In this paper we examine a method for establishing an almost sure existence of a subgraph of a random graph with a given subgraph property. Since the method has been abused in the literature, we state some conditions under which it can be safely used. As an illustration we apply the method to induced cycles, maximal induced trees and arbitrary subgraphs of a random graph K,,.p.
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