Now showing items 1-2 of 2

    • On Aharoni’s rainbow generalization of the Caccetta–Häggkvist conjecture 

      Hompe, Patrick; Pelikánová, Petra; Pokorná, Aneta; Spirkl, Sophie (Elsevier, 2021-05-01)
      For a digraph G and v is an element of V(G), let delta(+)(v) be the number of out-neighbors of v in G. The Caccetta-Haggkvist conjecture states that for all k >= 1, if G is a digraph with n = |V(G)| such that delta(+)(v) ...
    • Short Directed Cycles in Bipartite Digraphs 

      Seymour, Paul; Spirkl, Sophie (Springer Nature, 2020-08-01)
      The Caccetta-Häggkvist conjecture implies that for every integer k ≥ 1, if G is a bipartite digraph, with n vertices in each part, and every vertex has out-degree more than n/(k+1), then G has a directed cycle of length ...


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