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Gear composition and the stable set polytope
Authors:A. Galluccio   C. Gentile  P. Ventura  
Affiliation:aIstituto di Analisi dei Sistemi ed Informatica “Antonio Ruberti” - CNR, Viale Manzoni 30, 00185 Roma, Italy
Abstract:We present a new graph composition that produces a graph G from a given graph H and a fixed graph B called gear and we study its polyhedral properties. This composition yields counterexamples to a conjecture on the facial structure of View the MathML source when G is claw-free.
Keywords:Stable set polytope   Graph composition   Polyhedral combinatorics   Claw-free graphs
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