Abstract
Bidirected graphs are a generalization of undirected graphs. The generalized stable set problem is an extension of the maximum weight stable set problem for undirected graphs to bidirected graphs. It is known that the latter problem is polynomially solvable for claw-free undirected graphs. In this paper, we define claw-free bidirected graphs and show that the generalized stable set problem is also polynomially solvable for claw-free bidirected graphs.
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