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On the asymptotic distributions of subgraph counts in a random tournament

โœ 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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โœฆ 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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