The st-bond polytope on series-parallel graphs
RAIRO - Operations Research - Recherche Opérationnelle, Tome 52 (2018) no. 3, pp. 923-934.

The st-bond polytope of a graph is the convex hull of the incidence vectors of its st-bonds, where an st-bond is a minimal st-cut. In this paper, we provide a linear description of the st-bond polytope on series-parallel graphs. We also show that the st-bond polytope is the intersection of the st-cut dominant and the bond polytope.

Reçu le :
Accepté le :
DOI : 10.1051/ro/2018035
Classification : 90C27, 90C35, 90C57
Mots-clés : Bond, minimal st-cut, st-bond polytope, series-parallel graph
Grappe, Roland 1 ; Lacroix, Mathieu 1

1 
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     title = {The st-bond polytope on series-parallel graphs},
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Grappe, Roland; Lacroix, Mathieu. The st-bond polytope on series-parallel graphs. RAIRO - Operations Research - Recherche Opérationnelle, Tome 52 (2018) no. 3, pp. 923-934. doi : 10.1051/ro/2018035. http://www.numdam.org/articles/10.1051/ro/2018035/

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