New upper bounds for the connective constants of self-avoiding walks

被引：10

作者：

Noonan, J ^{[1
]}

机构：

[1] Mt Vernon Nazarene Coll, Dept Math, Mt Vernon, OH 43050 USA

来源：

JOURNAL OF STATISTICAL PHYSICS | 1998年 / 91卷 / 5-6期

关键词：

Goulden-Jackson method; upper bounds; connective constants; self-avoiding walks;

D O I：

10.1023/A:1023023831510

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Using a novel implementation of the Goulden-Jackson method, we compute new rigorous upper bounds for the connective constants of self-avoiding walks, breaking Aim's previous records For rectangular (hypercubic) lattices. We also give the explicit generating functions for memory less than or equal to 8. We then incorporate a numerical limit which gives bounds that are even better.

引用

页码：871 / 888

页数：18

共 18 条

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