The Rank Facets of the Stable Set Polytope for Claw-Free Graphs

نویسندگان

Anna Galluccio

Antonio Sassano

چکیده

This paper provides a complete characterization of all the rank facets of the stable set polytope STAB(G) associated with a claw-free graph G. In particular, it is shown that a claw-free graph G produces a rank facet of STAB(G) if and only if it can be obtained by means of two simple lifting procedures from three basic classes of graphs: (i) cliques, (ii) line graphs of minimal 2-connected hypomatchable graphs and (iii) circulant graphs C αω+1.

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