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arxiv: 2310.16571 · v3 · pith:NXEQN4GZnew · submitted 2023-10-25 · 🧮 math.CO

On the average hitting times of weighted Cayley graphs

classification 🧮 math.CO
keywords averagecayleygraphshittingtimesvertexweightedcertain
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In this paper, we give exact formulas for the average hitting times of random walks from one vertex to any other vertex on certain weighted Cayley graphs.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. An algebraic-combinatorial framework for finding the average hitting times in graphs with high regularity

    math.CO 2026-05 conditional novelty 7.0

    A new algebraic-combinatorial method using maximal-entropy random walks and weight-equitable partitions computes average hitting times in highly regular graphs and extends existing results.

  2. Number of spanning trees in a wheel graph with two identified vertices via hitting times

    math.CO 2025-02 unverdicted novelty 5.0

    Derives exact hitting-time formulas for wheel graphs W_{N+1} in Fibonacci/Lucas numbers and uses them with effective resistance to obtain the spanning-tree count of the graph with two vertices identified.