Crossing minimization problems of drawing bipartite graphs in two clusters [1 citations — 0 self]
by Lanbo Zheng, Le Song, Peter Eades
ACM International Conference Proceeding Series
http://crpit.com/confpapers/CRPITV45Zheng.pdf
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Abstract:
The crossing minimization problem is a classic and very important problem in graph drawing (Pach, Tòth 1997); the results directly affect the effectiveness of the layout, especially for very large scale graphs. But in many cases crossings cannot be avoided. In this paper we present two models for bipartite graph drawing, aiming to reduce crossings that cannot be avoided in the traditional bilayer drawings. We characterize crossing minimization problems in these models, and prove that they are N P-complete. 1
Citations
| 304 | Some simplified NP-complete graph problems – Garey, Johnson, et al. - 1976 |
| 239 | Methods for Visual Understanding of Hierarchical Systems – Sugiyama, Tagawa, et al. - 1981 |
| 166 | Crossing Number is NP-Complete – Garey, Johnson - 1983 |
| 72 | How to draw a directed graph – Eades, Sugiyama - 1990 |
| 54 | Graph Drawing: Algorithms for the Visualization of Graphs – Battista, Eades, et al. - 1999 |
| 52 | Edge crossings in drawings of bipartite graphs – Eades, Wormald - 1994 |
| 30 | Which crossing number is it, anyway – Pach, Tóth |
| 13 | Drawing planar partitions II: HHdrawings – Biedl, Kaufmann, et al. - 1998 |
| 5 | Nice drawings for planar bipartite graphs – Fomeier, Kaufmann - 1997 |
| 2 | An improved approximation to the one-sided bilayer drawing – Nagamochi - 2003 |
| 1 | private comunication – Nagamochi - 2004 |

