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Mixing time bounds for edge flipping on regular graphs
Yunus Emre Demirci, Ümit Işlak, Alperen Yaşar Özdemir · 2022-01-10 · via math.PR updates on arXiv.org

The edge flipping is a non-reversible Markov chain on a given connected graph, which is defined by Chung and Graham in [CG12]. In the same paper, its eigenvalues and stationary distributions for some classes of graphs are identified. We further study its spectral properties to show a lower bound for the rate of convergence in the case of regular graphs. Moreover, we show that a cutoff occurs at \frac{1}{4} n \log n for the edge flipping on the complete graph by a coupling argument.

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