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We propose an algorithm for solving the maximum weighted stable set problem on claw-free graphs that runs in O(vertical bar V vertical bar (vertical bar E vertical bar+vertical bar V vertical bar log vertical bar V vertical bar))-time, drastically improvin ...
In this thesis we focus our attention on the stable set polytope of claw-free graphs. This problem has been open for many years and albeit all the efforts engaged during those last three years, it is still open. This does not mean that no progress has been ...