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A characterization of the minimum cycle mean in a digraph. (English) Zbl 0386.05032

MSC:
05C20 Directed graphs (digraphs), tournaments
05C38 Paths and cycles
05C35 Extremal problems in graph theory
05-04 Software, source code, etc. for problems pertaining to combinatorics
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[1] Danzig, G.B.; Blattner, W.; Rao, M.R., Finding a cycle in a graph with minimum cost to time ratio with application to a ship routing problem, (), 77-84, Gordon and Breach, New York
[2] Johnson, D.B., Algorithms for shortest paths, ()
[3] Lawler, E.L., Optimal cycles in doubly weighted linear graphs, (), 209-214, Gordon and Breach, New York · Zbl 0196.56301
[4] Lawler, E.L., Combinatorial optimization: networks and matroids, (1976), Holt, Rinehart and Winston New York · Zbl 0358.68059
[5] Romanovskii, L.V., Optimization of stationary control of a discrete deterministic process, Cybernetics, 3, 52-62, (1967)
[6] Tarjan, R.E., Depth-first search and linear graph algorithms, SIAM J. comput., 1, 146-160, (1972) · Zbl 0251.05107
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