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Random Walk Labelings of Perfect Trees and Other Graphs

Combinatorics 2023-08-02 v1

Abstract

A Random walk labeling of a graph GG is any labeling of GG that could have been obtained by performing a random walk on GG. Continuing two recent works, we calculate the number of random walk labelings of perfect trees, combs, and double combs, the torus C2×CnC_2\times C_n, and the graph obtained by connecting three path graphs to form two cycles.

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Cite

@article{arxiv.2308.00315,
  title  = {Random Walk Labelings of Perfect Trees and Other Graphs},
  author = {Sela Fried and Toufik Mansour},
  journal= {arXiv preprint arXiv:2308.00315},
  year   = {2023}
}

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16 pages