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Antipaths in oriented graphs

Publikace na Matematicko-fyzikální fakulta |
2023

Tento text není v aktuálním jazyce dostupný. Zobrazuje se verze "en".Abstrakt

We show that for any natural number k > 1, any oriented graph D of minimum semidegree at least (3k - 2)/4 contains an antidirected path of length k. In fact, a slightly weaker condition on the semidegree sequence of D suffices, and as a consequence, we confirm a weakened antidirected path version of a conjecture of Addario-Berry, Havet, Linhares Sales, Thomasse and Reed.& COPY; 2023 Elsevier B.V.

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