Abstract
AbstractWe consider a random m by n bipartite tournament Tmn consisting of mn independent random arcs which have a common probability p of being directed from the m part to the n part. We determine the expected value and variance of the number of 4‐cycles in Tmn and the probability that Tmn has no cycles. An asymptotic expression for this probability is also given when p = 1/2 and m and n tend to infinity.
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