On the Chvلtal-rank of Antiwebs

We present an algorithm for computing both upper and lower bounds on the Chvلtal-rank of antiwebs, starting from the edge constraint stable set polytope. With the help of this algorithm we have been able to compute the exact values of the Chvلtal-rank for all antiwebs containing up to 5,000 nodes. Moreover, the algorithm can be easily adapted to start from the clique constraint stable set polytope.