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- W4299658278 abstract "We prove that for every digraph $F$ and every assignment of pairs of integers $(r_e,q_e)_{e in A(F)}$ to its arcs there exists an integer $N$ such that every digraph $D$ with dichromatic number at least $N$ contains a subdivision of $F$ in which $e$ is subdivided into a directed path of length congruent to $r_e$ modulo $q_e$, for every $e in A(F)$. This generalizes to the directed setting the analogous result by Thomassen for undirected graphs, and at the same time yields a novel short proof of his result." @default.
- W4299658278 created "2022-10-02" @default.
- W4299658278 creator A5010407419 @default.
- W4299658278 date "2022-08-12" @default.
- W4299658278 modified "2023-09-29" @default.
- W4299658278 title "Subdivisions with congruence constraints in digraphs of large chromatic number" @default.
- W4299658278 doi "https://doi.org/10.48550/arxiv.2208.06358" @default.
- W4299658278 hasPublicationYear "2022" @default.
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