Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1998-06-29
Nucl.Phys. B540 (1999) 731-741
Physics
Condensed Matter
Statistical Mechanics
16 pages, 4 figures, latex2e, uses graphicx and amsfonts. minor corrections
Scientific paper
A Hamiltonian cycle of a graph is a closed path that visits every vertex once and only once. It has been difficult to count the number of Hamiltonian cycles on regular lattices with periodic boundary conditions, e.g. lattices on a torus, due to the presence of winding modes. In this paper, the exact number of Hamiltonian cycles on a random trivalent fat graph drawn faithfully on a torus is obtained. This result is further extended to the case of random graphs drawn on surfaces of an arbitrary genus. The conformational exponent gamma is found to depend on the genus linearly.
No associations
LandOfFree
Hamiltonian cycles on random lattices of arbitrary genus does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Hamiltonian cycles on random lattices of arbitrary genus, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hamiltonian cycles on random lattices of arbitrary genus will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-209487