Liebling, Thomas M.Oriolo, GianpaoloSpille, BiancaStauffer, Gautier2006-02-132006-02-132006-02-13200410.1007/s001860300317https://infoscience.epfl.ch/handle/20.500.14299/223107WOS:000188748200002We deal with non-rank facets of the stable set polytope of claw-free graphs. We extend results of Giles and Trotter [7] by (i) showing that for any nonnegative integer a there exists a circulant graph whose stable set polytope has a facet-inducing inequality with (a,a+1)-valued coefficients (rank facets have only coefficients 0, 1), and (ii) providing new facets of the stable set polytope with up to five different non-zero coefficients for claw-free graphs. We prove that coefficients have to be consecutive in any facet with exactly two different non-zero coefficients (assuming they are relatively prime). Last but not least, we present a complete description of the stable set polytope for graphs with stability number 2, already observed by Cook [3] and Shepherd [18].Stable setsClaw-free graphsQuasi-line graphsCirculant graphsClique family inequalitiestext::journal::journal article::research article