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Circuit and bond polytopes on series-parallel graphs

S. Borne(Sylvie.Borne***at***lipn.univ-paris13.fr)
P. Fouilhoux(Pierre.Fouilhoux***at***lip6.fr)
R. Grappe(Roland.Grappe***at***lipn.univ-paris13.fr)
M. Lacroix(Mathieu.Lacroix***at***lipn.univ-paris13.fr)
P. Pesneau(Pierre.Pesneau***at***math.u-bordeaux1.fr)

Abstract: In this paper, we describe the circuit polytope on series-parallel graphs. We first show the existence of a compact extended formulation. Though not being explicit, its construction process helps us to inductively provide the description in the original space. As a consequence, using the link between bonds and circuits in planar graphs, we also describe the bond polytope on series-parallel graphs.

Keywords: circuit polytope, series-parallel graphs, extended formulation, bond polytope

Category 1: Combinatorial Optimization (Polyhedra )


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Entry Submitted: 07/10/2014
Entry Accepted: 07/10/2014
Entry Last Modified: 07/10/2014

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