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- W4295124810 abstract "Parabolic (resp. hyperbolic) self-embeddings of trees are those which do not fix a non-empty finite subtree and preserve precisely one (resp. two) end(s). We prove that a locally finite tree having a parabolic self-embedding is mutually embeddable with infinitely many pairwise non-isomorphic trees, unless the tree is a one-way infinite path. As a result, we conclude that two important properties identified by Bonato-Tardif and Tyomkyn hold for locally finite trees not having any hyperbolic self-embedding." @default.
- W4295124810 created "2022-09-11" @default.
- W4295124810 creator A5058521299 @default.
- W4295124810 date "2022-09-08" @default.
- W4295124810 modified "2023-09-29" @default.
- W4295124810 title "On Infinitely Many Siblings for Locally Finite Trees with Parabolic Embeddings" @default.
- W4295124810 doi "https://doi.org/10.48550/arxiv.2209.03897" @default.
- W4295124810 hasPublicationYear "2022" @default.
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