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    • Rainbow factors in hypergraphs 

      Coulson, Matthew John; Keevash, Peter; Perarnau Llobet, Guillem; Yepremyan, Liana (2020-05-01)
      Open Access
      For any r-graph H, we consider the problem of finding a rainbow H-factor in an r-graph G with large minimum l-degree and an edge-colouring that is suitably bounded. We show that the asymptotic degree threshold is the same ...
    • Rainbow matchings in Dirac bipartite graphs 

      Coulson, Matthew John; Perarnau Llobet, Guillem (2019-01-15)
      Restricted access - publisher's policy
      We show the existence of rainbow perfect matchings in µn-bounded edge colorings of Dirac bipartite graphs, for a sufficiently small µ¿>¿0. As an application of our results, we obtain several results on the existence of ...