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$STAB(G) when G is claw-free.

Gear composition and the Stable Set Polytope

Galluccio A;Gentile C;Ventura P
2008

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$STAB(G) when G is claw-free.
2008
Istituto di Analisi dei Sistemi ed Informatica ''Antonio Ruberti'' - IASI
stable set polytope
graph composition
polyhedral combinatorics
claw-free graphs
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/170270
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