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Hamiltonian Cycles on a Random Three-coordinate Lattice

B. Eynard·E. Guitter·C. Kristjansen
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Abstract

Consider a random three-coordinate lattice of spherical topology having 2v vertices and being densely covered by a single closed, self-avoiding walk, i.e. being equipped with a Hamiltonian cycle. We determine the number of such objects as a function of v. Furthermore we express the partition function of the corresponding statistical model as an elliptic integral.

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B. Eynard, E. Guitter, C. Kristjansen. 1998-05-20. Hamiltonian Cycles on a Random Three-coordinate Lattice. https://doi.org/10.1016/s0550-3213(98)00391-5

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