DIRECTED ANIMALS ON 2-DIMENSIONAL LATTICES

被引：13

作者：

CONWAY, AR

BRAK, R

GUTTMANN, AJ

机构：

[1] Dept. of Math., Melbourne Univ., Parkville, Vic.

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1993年 / 26卷 / 13期

关键词：

D O I：

10.1088/0305-4470/26/13/013

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Previously, directed animals on square and triangular lattices have been enumerated by area, and have been found to have simple generating functions, whilst the hexagonal lattice generating function has not been obtained. In this paper, directed animals on several new lattices are enumerated, one class of which is solved exactly. Directed animals by bonds (with and without loops) are also enumerated. In each case an asymptotic growth like n-1/2 mu(n) is observed and precise estimates for mu are given.

引用

页码：3085 / 3091

页数：7

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