Highly linked tournaments

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• António Girão (University of Birmingham)
• Thursday 17 January 2019, 13:00-14:00
• Watson LTB.

If you have a question about this talk, please contact Richard Montgomery.

In this talk I shall talk about some properties of tournaments. A tournament is k-linked if for every two disjoint subsets A, B of order k and any assignment of the vertices of A to vertices of B there exist k vertex disjoint paths routing the prescribed pairs. We will discuss a recent result which asserts that there exists a function f such that for any positive integer k, if a tournament is 4k-strongly-connected and has minimum out-degree at least f(k), then it is k-linked. This comes close to resolving a conjecture of Pokrovskiy. Along the way, we show that a tournament with sufficiently large minimum out- degree contains a subdivision of a complete directed graph.

This talk is part of the Combinatorics and Probability seminar series.

This talk is included in these lists:

• Combinatorics and Probability seminar
• School of Mathematics events
• Watson LTB

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