Abstract
An upward drawing of a DAG G is a drawing of G in which all edges are drawn as curves increasing monotonically in the vertical direction. In this paper, we present a new approach for upward crossing minimization, i.e., finding an upward drawing of a DAG G with as few crossings as possible. Our algorithm is based on a two-stage upward planarization approach, which computes a feasible upward planar subgraph in the first step, and re-inserts the remaining edges by computing constraint-feasible upward insertion paths. An experimental study shows that the new algorithm leads to much better results than existing algorithms for upward crossing minimization, including the classical Sugiyama approach.
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Chimani, M., Gutwenger, C., Mutzel, P., Wong, HM. (2008). Layer-Free Upward Crossing Minimization. In: McGeoch, C.C. (eds) Experimental Algorithms. WEA 2008. Lecture Notes in Computer Science, vol 5038. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-68552-4_5
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DOI: https://doi.org/10.1007/978-3-540-68552-4_5
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