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WEA
2007
Springer

Crossing Minimization in Weighted Bipartite Graphs

13 years 8 months ago
Crossing Minimization in Weighted Bipartite Graphs
Given a bipartite graph G = (L0, L1, E) and a fixed ordering of the nodes in L0, the problem of finding an ordering of the nodes in L1 that minimizes the number of crossings has received much attention in literature. The problem is NP-complete in general and several practically efficient heuristics and polynomial-time algorithms with a constant approximation ratio have been suggested. We generalize the problem and consider the version where the edges have nonnegative weights. Although this problem is more general and finds specific applications in automatic graph layout problems similar to those of the unweighted case, it has not received as much attention. We provide a new technique that efficiently approximates a solution to this more general problem within a constant approximation ratio of 3. In addition we provide appropriate generalizations of some common heuristics usually employed for the unweighted case and compare their performances.
Olca A. Çakiroglu, Cesim Erten, Ömer K
Added 09 Jun 2010
Updated 09 Jun 2010
Type Conference
Year 2007
Where WEA
Authors Olca A. Çakiroglu, Cesim Erten, Ömer Karatas, Melih Sözdinler
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