On the asymptotic distributions of subgraph counts in a random tournament
โ Scribed by Pontus Andersson
- Publisher
- John Wiley and Sons
- Year
- 1998
- Tongue
- English
- Weight
- 191 KB
- Volume
- 13
- Category
- Article
- ISSN
- 1042-9832
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โฆ Synopsis
A random tournament T is obtained by independently orienting the edges of n 1 the complete graph on n vertices, with probability for each direction. We study the 2 asymptotic distribution, as n tends to infinity, of a suitable normalization of the number of subgraphs of T that are isomorphic to a given digraph. The problem of finding digraphs n that appear the same number of times in all tournaments with a fixed number of vertices is also discussed.
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