Publication : t98/007
Hamiltonian Cycles on a Random Three-coordinate Lattice
Eynard B. (Department of Mathematical Sciences, University of Durham, Science Labs. South Road, Durham DH1 3LE, England UNITED KINGDOM (UK))Guitter E. (CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE)
Kristjansen C. (The Niels Bohr Institute Blegdamsvej 17, DK-2100 Copenhagen, DENMARK)
Abstract:Année de publication : 1998
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.
Revue : Nucl. Phys. B (1998)
DOI : 10.1016/S0550-3213(98)00391-5
Preprint : arXiv:cond-mat/9801281
PACS : 05.20.y, 04.60.Nc, 02.10.Eb
Keywords : Hamiltonian cycle, self-avoiding walk, random lattice, $0(n)$ model
Langue : Anglais
NB : 528, 523-532 (1998)
Fichier(s) à télécharger :
publi.pdf
