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cond-mat.stat-mech2023★ 3 cited
Hamiltonian Cycles on Ammann-Beenker Tilings
Shobhna Singh, Jerome Lloyd, Felix Flicker
We provide a simple algorithm for constructing Hamiltonian graph cycles (visiting every vertex exactly once) on a set of arbitrarily large finite subgraphs of aperiodic two-dimensi…
cond-mat.stat-mech2021
Statistical mechanics of dimers on quasiperiodic Ammann-Beenker tilings
Jerome Lloyd, Sounak Biswas, Steven H. Simon +2
We study classical dimers on two-dimensional quasiperiodic Ammann-Beenker (AB) tilings. Despite the lack of periodicity we prove that each infinite tiling admits 'perfect matchings…