Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1998-01-29
Mod.Phys.Lett. A13 (1998) 727-734
Physics
Condensed Matter
Statistical Mechanics
8 pages, 3 figures, uses latex2e and graphicx, typos corrected and a reference added. Presentation improved
Scientific paper
10.1142/S0217732398000784
A Hamiltonian cycle of a graph is a closed path which visits each of the
vertices once and only once. In this article, Hamiltonian cycles on planar
random lattices are considered. The generating function for the number of
Hamiltonian cycles is obtained and its singularity is studied. Relation to
two-dimensional quantum gravity is discussed.
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