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arXiv · 1812.06342

Decomposition of balanced multipartite tournaments into strongly connected tournaments

A. P. Figueroa·J. J. Montellano-Ballesteros·M. Olsen
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Abstract

Decomposing a digraph into subdigraphs with a fixed structure or property is a classical problem in graph theory and a useful tool in a number of applications of networks and communication. A digraph is strongly connected if it contains a directed path from each vertex to all others. In this paper we consider multipartite tournaments, and we study the existence of a partition of a multipartite tournament with $c$ partite sets into strongly connected $c$-tournaments. This is a continuation of the study started in 1999 by Volkmann of the existence of strongly connected subtournaments in multipartite tournaments.

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A. P. Figueroa, J. J. Montellano-Ballesteros, M. Olsen. 2018-12-15. Decomposition of balanced multipartite tournaments into strongly connected tournaments. https://arxiv.org/abs/1812.06342

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