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- W3154163285 abstract "Let X be a connected, locally finite graph with symmetric growth. We prove that there is a vertex coloring ϕ : X → {0, 1} and some R ∈ ℝ such that every automorphism f preserving ϕ is R -close to the identity map; this can be seen as a coarse geometric version of symmetry breaking. We also prove that the infinite motion conjecture is true for graphs where at least one vertex stabilizer S x satisfies the following condition: for every non-identity automorphism f ∈ S x , there is a sequence x n such that lim d ( x n , f ( x n )) = ∞ ." @default.
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- W3154163285 date "2021-08-19" @default.
- W3154163285 modified "2023-10-16" @default.
- W3154163285 title "Coarse distinguishability of graphs with symmetric growth" @default.
- W3154163285 doi "https://doi.org/10.26493/1855-3974.2354.616" @default.
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