@misc{PecherWagler2003, author = {Pecher, Arnaud and Wagler, Annegret}, title = {On Non-Rank Facets of Stable Set Polytopes of Webs with Clique Number Four}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-7238}, number = {03-01}, year = {2003}, abstract = {Graphs with circular symmetry, called webs, are relevant w.r.t. describing the stable set polytopes of two larger graph classes, quasi-line graphs and claw-free graphs. Providing a decent linear description of the stable set polytopes of claw-free graphs is a long-standing problem. However, even the problem of finding all facets of stable set polytopes of webs is open. So far, it is only known that stable set polytopes of webs with clique number \$\leq 3\$ have rank facets only while there are examples with clique number \$>4\$ having non-rank facets.}, language = {en} }