Hamiltonian cycles on a random three-coordinate lattice

被引：9
|
作者：
Eynard, B
Guitter, E
Kristjansen, C
机构：
[1] Univ Durham, Sci Labs, Dept Math Sci, Durham DH1 3LE, England
[2] Serv Phys Theor Saclay, F-91191 Gif Sur Yvette, France
[3] Niels Bohr Inst, DK-2100 Copenhagen, Denmark
来源：
NUCLEAR PHYSICS B | 1998年 / 528卷 / 03期
关键词：
Hamiltonian cycle; self-avoiding walk; random lattice; O(n) model;
D O I：
10.1016/S0550-3213(98)00391-5
中图分类号：
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号：
摘要：
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. (C) 1998 Elsevier Science B.V.
引用
收藏
页码：523 / 532
页数：10
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