An algorithm for generating minimal cutsets of undirected graphs

In this paper, we propose an algorithm for generating minimal cutsets of undirected graphs. The algorithm is based on a blocking mechanism for generating every minimal cutset exactly once. The algorithm has an advantage of not requiring any preliminary steps to find minimal cutsets. The algorithm ge...

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Veröffentlicht in:Journal of applied mathematics & computing 1998-09, Vol.5 (3), p.681-693
Hauptverfasser: Shin, Yong Yeon, Koh, Jai Sang
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description In this paper, we propose an algorithm for generating minimal cutsets of undirected graphs. The algorithm is based on a blocking mechanism for generating every minimal cutset exactly once. The algorithm has an advantage of not requiring any preliminary steps to find minimal cutsets. The algorithm generates minimal cutsets atO(e · n) {wheree,n = number of (edges, vertices) in the graph} computational effort per cutset. Formal proofs of the algorithm are presented.
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ispartof Journal of applied mathematics & computing, 1998-09, Vol.5 (3), p.681-693
issn 1226-0061
1598-5865
1865-2085
language eng
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source Springer Journals
subjects Algorithms
Apexes
Applied mathematics
Graph theory
Graphs
Studies
title An algorithm for generating minimal cutsets of undirected graphs
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