Hamiltonian Cycles on a Random Three-coordinate Lattice

Details Hamiltonian Cycles on a Random Three-coordinate Lattice Hamiltonian Cycles on a Random Three-coordinate Lattice

1998-01-27

arxiv.org/abs/cond-mat/9801281v2

Nucl.Phys. B528 (1998) 523

Physics

Condensed Matter

Statistical Mechanics

10 pages, LaTeX, 3 eps-figures, one reference added

Scientific paper

10.1016/S0550-3213(98)00391-5

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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