INCLUSION AND EXCLUSION ALGORITHM FOR THE HAMILTONIAN PATH PROBLEM

被引：38
|
作者：
BAX, ET
机构：
[1] Department of Computer Science, Furman University, Greenville
来源：
INFORMATION PROCESSING LETTERS | 1993年 / 47卷 / 04期
关键词：
COMBINATORIAL PROBLEMS; HAMILTONIAN PATH PROBLEM; NP PROBLEMS; GRAPH THEORY;
D O I：
10.1016/0020-0190(93)90033-6
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper contains a description of an algorithm that uses the principle of inclusion and exclusion to determine the number of Hamiltonian paths in a given graph that have a given starting vertex and a given ending vertex, and it also contains a description of a similar algorithm to determine the number of Hamiltonian cycles in a given graph. The algorithms have an upper bound on time complexity of O(2n x n4) where n is the number of vertices in the graph. Also, the algorithms require only O(n3 log2 n) bits of storage space.
引用
收藏
页码：203 / 207
页数：5
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