Enumerating spanning and connected subsets in graphs and matroids

Enumerating spanning and connected subsets in graphs and matroids

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Article ID: iaor20084042
Country: Japan
Volume: 50
Issue: 4
Start Page Number: 325
End Page Number: 338
Publication Date: Dec 2007
Journal: Journal of the Operations Research Society of Japan
Authors: , , , , ,
Keywords: computational analysis
Abstract:

We show that enumerating all minimal spanning and connected subsets of a given matroid can be solved in incremental quasi-polynomial time. In the special case of graphical matroids, we improve this complexity bound by showing that all minimal 2-vertex connected subgraphs of a given graph can be generated in incremental polynomial time.

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