Approximating the minimum cycle mean
نویسندگان
چکیده
منابع مشابه
Approximating the minimum cycle mean
We consider directed graphs where each edge is labeled with an integer weight and study the fundamental algorithmic question of computing the value of a cycle with minimum mean weight. Our contributions are twofold: (1) First we show that the algorithmic question is reducible in O(n2) time to the problem of a logarithmic number of min-plus matrix multiplications of n× n-matrices, where n is the...
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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 ide...
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ژورنال
عنوان ژورنال: Electronic Proceedings in Theoretical Computer Science
سال: 2013
ISSN: 2075-2180
DOI: 10.4204/eptcs.119.13