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On the stable set polytope of a series-parallel graph
Authors:A. R. Mahjoub
Affiliation:(1) Department of Combinatorics & Optimization, University of Waterloo, Canada;(2) Present address: Department of Statistics, King Saud University, 11451 Riyadh, Saudi Arabia
Abstract:We give a short proof of Chvátal's conjecture that the nontrivial facets of the stable set polytope of a series-parallel graph all come from edges and odd holes.Research supported in part by the Natural Sciences and Engineering Research Council of Canada and by CP Rail.
Keywords:Series-parallel graphs  facets of polyhedra  stable set polytope
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