Volume 52, Number 3, July–September 2018
|Page(s)||923 - 934|
|Published online||22 October 2018|
The st-bond polytope on series-parallel graphs
Université Paris 13, Sorbonne Paris Cité, LIPN, CNRS, UMR 7030,
* Corresponding author: Mathieu.Lacroix@lipn.univ-paris13.fr
Accepted: 2 May 2018
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.
Mathematics Subject Classification: 90C27 / 90C35 / 90C57
Key words: Bond / minimal st-cut / st-bond polytope / series-parallel graph
© EDP Sciences, ROADEF, SMAI 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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