Further results on random walk labelings

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Further results on random walk labelings

Fried, Sela; Mansour, Toufik

Discrete Applied Mathematics, 08/2024, Volume: 353

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In a previous work, we defined and studied random walk labelings of graphs. These are graph labelings that are obtainable by performing a random walk on the graph, such that each vertex is labeled upon its first visit. In this work, we calculate the number of random walk labelings of several natural graph families: The wheel, fan, barbell, lollipop, tadpole, friendship, and snake graphs. Additionally, we prove several combinatorial identities that emerged during the calculations.

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