A New Approach to Exact Crossing Minimization

  title={A New Approach to Exact Crossing Minimization},
  author={Markus Chimani and Petra Mutzel and Immanuel M. Bomze},
The crossing number problem is to find the smallest number of edge crossings necessary when drawing a graph into the plane. Eventhough the problem is NP-hard, we are interested in practically efficient algorithms to solve the problem to provable optimality. In this paper, we present a novel integer linear programming (ILP) formulation for the crossing number problem. The former formulation [4] had to transform the crossing number polytope into a higher-dimensional polytope. The key idea of our… CONTINUE READING
Highly Cited
This paper has 29 citations. REVIEW CITATIONS