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An approximate version of Jackson's conjecture

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  • UserYani Pehova (University of Warwick)
  • ClockThursday 21 November 2019, 14:30-15:30
  • HouseMR12.

If you have a question about this talk, please contact Andrew Thomason.

In 1981 Jackson showed that the diregular bipartite tournament (a complete bipartite graph whose edges are oriented so that every vertex has the same in- and outdegree) contains a Hamilton cycle, and conjectured that in fact the edge set of it can be partitioned into Hamilton cycles. We prove an approximate version of this conjecture: For every $c > 1/2$ and $\varepsilon > 0$ there exists $n_0$ such that every $cn$-regular bipartite digraph on $2n\geq n_0$ vertices contains $(1 – \varepsilon)cn$ edge-disjoint Hamilton cycles.

This talk is part of the Combinatorics Seminar series.

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