An evaluation of the number of Hamiltonian paths
- 1 January 1985
- journal article
- Published by EDP Sciences in Journal de Physique Lettres
- Vol. 46 (8) , 353-357
- https://doi.org/10.1051/jphyslet:01985004608035300
Abstract
The number of Hamiltonian walks on a regular lattice of N points, with coordination number q is of the form ωNH for N → ∞. We obtain an estimate ωH ∼ q/e in surprising agreement with available data in two dimensionsKeywords
This publication has 8 references indexed in Scilit:
- Compact self-avoiding circuits on two-dimensional latticesJournal of Physics A: General Physics, 1984
- Peculiarities of themodel forPhysical Review B, 1982
- On the validity of the Flory–Huggins approximation for semiflexible chainsThe Journal of Chemical Physics, 1981
- On the absence of the completely ordered phase in the Flory model of semi-flexible linear polymersJournal of Physics A: General Physics, 1980
- The graph-like state of matter. VII. The glass transition of polymers and Hamiltonian walksJournal of Physics A: General Physics, 1976
- Statistical mechanics of the melting transition in lattice models of polymersProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1974
- Exact Solution of the Problem of the Entropy of Two-Dimensional IcePhysical Review Letters, 1967
- Order-disorder in hexagonal latticesPhysica, 1950