University of Birmingham > Talks@bham > Combinatorics and Probability seminar > Rainbow spanning subgraphs of graphs with large minimum degree

Rainbow spanning subgraphs of graphs with large minimum degree

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  • UserMatthew Coulson (University of Birmingham)
  • ClockTuesday 06 February 2018, 15:00-16:00
  • HousePhysics West 106.

If you have a question about this talk, please contact Allan Lo.

If G is an edge coloured graph of order n, we say a subgraph H is rainbow if each edge of H has a different colour. Allowing the colouring of G to be arbitrary makes it easy to avoid all non-trivial rainbow spanning subgraphs. Suppose instead that the colouring is k-bounded, we ask how large k can be for certain pairings of graphs G with a spanning subgraph H. The case in which G is complete was solved by Böttcher, Kohayakawa and Procacci. We will exhibit some graphs H where taking the minimum degree of G to be slightly above H’s containment threshold allows us to find a rainbow copy of H in G for any μn-bounded colouring of G.

Joint work with Peter Keevash, Guillem Perarnau and Liana Yepremyan.

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

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