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arxiv: cs/0607109 · v2 · submitted 2006-07-25 · 💻 cs.DM · cs.CC

Complexity and Applications of Edge-Induced Vertex-Cuts

classification 💻 cs.DM cs.CC
keywords vertex-cutsedge-inducedapplicationscomplexitynotionalgorithmscomparecomputing
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Motivated by hypergraph decomposition algorithms, we introduce the notion of edge-induced vertex-cuts and compare it with the well-known notions of edge-cuts and vertex-cuts. We investigate the complexity of computing minimum edge-induced vertex-cuts and demonstrate the usefulness of our notion by applications in network reliability and constraint satisfaction.

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