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A subpolynomial approximation algorithm for graph crossing number in low-degree graphs

A subpolynomial approximation algorithm for graph crossing number in low-degree graphs

We consider the classical Minimum Crossing Number problem: given an n-vertex graph G, compute a drawing of G in the plane, while minimizing the number of crossings between the images of its edges. This is a fundamental and extensively studied problem, whose approximability status is widely open. In all currently …