Communication
A note on the cardinality of certain classes of unlabeled multipartite tournaments

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Abstract

A multipartite tournament is an orientation of a complete multipartite graph. Simple derivations are obtained of the numbers of unlabeled acyclic and unicyclic multipartite tournaments, and unlabeled bipartite tournaments with exactly k cycles, which are pairwise vertex-disjoint.

Keywords

Multipartite tournaments
Bipartite tournaments
Enumeration

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