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- W4225888436 abstract "An old result of Muller and Rodl states that a countable graph $G$ has a subgraph whose vertices all have infinite degree if and only if for any vertex labeling of $G$ by positive integers, an infinite increasing path can be found. They asked whether an analogous equivalence holds for edge labelings, which Reiterman answered in the affirmative. Recently, Arman, Elliott, and Rodl extended this problem to linear $k$-uniform hypergraphs $H$ and generalized the original equivalence for vertex labelings. They asked whether Reiterman's result for edge labelings can similarly be extended. We confirm this for the case where $H$ admits only finitely many Berge cycles." @default.
- W4225888436 created "2022-05-05" @default.
- W4225888436 creator A5051868369 @default.
- W4225888436 date "2022-01-24" @default.
- W4225888436 modified "2023-10-10" @default.
- W4225888436 title "A note on increasing paths in countable hypergraphs" @default.
- W4225888436 doi "https://doi.org/10.48550/arxiv.2201.09794" @default.
- W4225888436 hasPublicationYear "2022" @default.
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