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- W4299621535 abstract "The space C of conservative vertex colorings (over a field F) of a countable, locally finite graph G is introduced. The subspace of based colorings is shown to be isomorphic to the bicycle space of the graph. For graphs G with a free Z^d-action by automorphisms, C is a finitely generated module over the polynomial ring F[Z^d], and for this a polynomial invariant, the Laplacian polynomial, is defined. Properties of this polynomial are discussed. The logarithmic Mahler measure of the Laplacian polynomial is characterized in terms of the growth of spanning trees of G." @default.
- W4299621535 created "2022-10-02" @default.
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- W4299621535 date "2014-08-27" @default.
- W4299621535 modified "2023-09-27" @default.
- W4299621535 title "Vertex-Colored Graphs, Bicycle Spaces and Mahler Measure" @default.
- W4299621535 doi "https://doi.org/10.48550/arxiv.1408.6570" @default.
- W4299621535 hasPublicationYear "2014" @default.
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