Let N be a single-source single-sink flow network with n nodes, m arcs, and positive arc costs. We present a pseudo-polynomial algorithm that computes a maximum flow of minimum cost for N in time (Formula presented), where χ is the cost of the flow. This improves upon previously known methods for networks where the minimum cost of the flow is small. We also show an application of our flow algorithm to a well-known graph drawing problem. Namely, we show how to compute a planar orthogonal drawing with the minimum number of bends for an n-vertex embedded planar graph in time (Formula presented). This is the first subquadratic algorithm for bend minimization. The previous best bound for this problem was (Formula presented) [19].
CITATION STYLE
Garg, A., & Tamassia, R. (1997). A new minimum cost flow algorithm with applications to graph drawing. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1190, pp. 201–216). Springer Verlag. https://doi.org/10.1007/3-540-62495-3_49
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