Generating and counting Hamilton cycles in random regular graphs

被引：25

作者：

Frieze, A

Jerrum, M

Molloy, M

Robinson, R

Wormald, N

机构：

[1] UNIV EDINBURGH,DEPT COMP SCI,EDINBURGH EH9 3JZ,MIDLOTHIAN,SCOTLAND

[2] UNIV GEORGIA,DEPT COMP SCI,ATHENS,GA 30602

[3] UNIV MELBOURNE,DEPT MATH,PARKVILLE,VIC 3052,AUSTRALIA

来源：

JOURNAL OF ALGORITHMS | 1996年 / 21卷 / 01期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1006/jagm.1996.0042

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Let G be chosen uniformly at random from the set G(r, n) of r-regular graphs with vertex set [n]. We describe polynomial time algorithms that whp (i) find a Hamilton cycle in G, and (ii) approximately count the number of Hamilton cycles in G. (C) 1996 Academic Press, Inc.

引用

页码：176 / 198

页数：23

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