Title
Accelerated bend minimization
Abstract
We present an $\mathcal O( n^{3/2})$ algorithm for minimizing the number of bends in an orthogonal drawing of a plane graph. It has been posed as a long standing open problem at Graph Drawing 2003, whether the bound of $\mathcal O(n^{7/4}\sqrt{\log n})$ shown by Garg and Tamassia in 1996 could be improved. To answer this question, we show how to solve the uncapacitated min-cost flow problem on a planar bidirected graph with bounded costs and face sizes in $\mathcal O(n^{3/2})$ time.
Year
DOI
Venue
2011
10.1007/978-3-642-25878-7_12
J. Graph Algorithms Appl.
Keywords
DocType
Volume
planar bidirected graph,open problem,uncapacitated min-cost flow problem,plane graph,graph drawing,face size,mathcal o,bounded cost,log n,long standing
Conference
16
Issue
ISSN
Citations 
3
0302-9743
3
PageRank 
References 
Authors
0.41
24
2
Name
Order
Citations
PageRank
Sabine Cornelsen114419.85
Andreas Karrenbauer213320.21