Ubiquity of oriented rays

arXiv2210.06952MaRDI QIDQ6508086

Thilo Krill, Author name not available (Why is that?), Florian Reich

Abstract: Call a digraph $H$ emph{ubiquitous} if every digraph $D$ that contains $k$ disjoint copies of $H$ for every $kinmathbbN$ also contains infinitely many disjoint copies of $H$. We characterise which digraphs whose underlying undirected graph is a ray are ubiquitous.

Mathematics Subject Classification ID

Directed graphs (digraphs), tournaments (05C20) Infinite graphs (05C63)

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