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math.CO2024
Subgraphs with a positive minimum semidegree in digraphs with large outdegree
Andrzej Grzesik, Vojtech Rodl, Jan Volec
We prove that every -vertex directed graph with the minimum outdegree contains a subgraph satisfying \[ \min\left\{δ^+(H), δ^-(H) \right\} \ge \frac{d(d+1)}…
math.CO2024
Tight Hamiltonicity from dense links of triples
Richard Lang, Mathias Schacht, Jan Volec
We show that for all , , and sufficiently large, every -uniform hypergraph on vertices in which each set of vertices is contained in at le…