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The Strongly Connected Components of 1-in, 1-out

Published online by Cambridge University Press:  12 September 2008

B. Reed  and
Colin McDiarmid
B. Reed
Affiliation:
Universität Bonn
Colin McDiarmid
Affiliation:
Department of Statistics, Oxford University
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Abstract

We consider a random digraph Din, out(n) on vertices 1, …, n, where, for each vertex v, we choose at random one of the n possible arcs with head v and one of the n possible arcs with tail v. We show that the expected size of the largest component of Din, out is .

Type
Research Article
Information
Combinatorics, Probability and Computing , Volume 1 , Issue 3 , September 1992 , pp. 265 - 274
Copyright
Copyright © Cambridge University Press 1992

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References

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