Partitioning into Sets of Bounded Cardinality

被引：0
|
作者：
Koivisto, Mikko [1 ]
机构：
[1] Univ Helsinki, HIIT, Dept Comp Sci, FI-00014 Helsinki, Finland
来源：
PARAMETERIZED AND EXACT COMPUTATION | 2009年 / 5917卷
关键词：
D O I：
暂无
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
We show that the partitions of an n-element set into A; members of a given set family can be counted in time O((2-epsilon)(n)), where epsilon > 0 depends only on the maximum size among the members of the family. Specifically, we give a simple combinatorial algorithm that counts the perfect matchings in a given graph on n vertices in time 0(poly(n)phi(n)), where phi = 1.618 ... is the golden ratio; this improves a previous bound based on fast matrix multiplication.
引用
收藏
页码：258 / 263
页数：6
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