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 when G is claw-free.