A note on finding minimum mean cycle

被引:7
作者
Chaturvedi, Mmanu [1 ]
McConnell, Ross M. [1 ]
机构
[1] Colorado State Univ, Dept Comp Sci, Ft Collins, CO 80523 USA
关键词
Analysis of algorithms; Design of algorithms; Graph algorithms;
D O I
10.1016/j.ipl.2017.06.007
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In a directed graph with edge weights, the mean weight of a directed cycle is the weight of its edges divided by their number. The minimum cycle mean of the graph is the minimum mean weight of a cycle. Karp gave a characterization of minimum cycle mean and an O(nm) algorithm to compute it, where n is the number of vertices and m is the number of edges. However, an algorithm he suggested for identifying a cycle with this mean weight is not correct. We propose an alternative. (C) 2017 Elsevier B.V. All rights reserved.
引用
收藏
页码:21 / 22
页数:2
相关论文
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[1]  
KARP RM, 1978, DISCRETE MATH, V23, P309, DOI 10.1016/0012-365X(78)90011-0