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1 results

  • Mixing time bounds for edge flipping on regular graphs

  • Part of
  • Yunus Emre Demirci, Ümit Işlak, Alperen Özdemir
  • Journal:
    Journal of Applied Probability / Volume 60 / Issue 4 / December 2023
    Published online by Cambridge University Press:
    26 April 2023, pp. 1317-1332
    Print publication:
    December 2023
    • Article
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  • An edge flipping is a non-reversible Markov chain on a given connected graph, as defined in Chung and Graham (2012). In the same paper, edge flipping eigenvalues and stationary distributions for some classes of graphs were identified. We further study edge flipping spectral properties to show a lower bound for the rate of convergence in the case of regular graphs. Moreover, we show by a coupling argument that a cutoff occurs at $\frac{1}{4} n \log n$ for the edge flipping on the complete graph.