Upward Planarization Layout

Recently, we have presented a new practical method for upward crossing minimization [4], which clearly outperformed existing approaches for drawing hierarchical graphs in that respect. The outcome of this method is an upward planar representation (UPR), a planarly embedded graph in which crossings are represented by dummy vertices. However, straight-forward approaches for drawing such UPRs lead to quite unsatisfactory results. In this paper, we present a new algorithm for drawing UPRs that greatly improves the layout quality, leading to good hierarchal drawings with few crossings. We analyze its performance on well-known benchmark graphs and compare it with alternative approaches.

• Type: Conference
• Year: 2009
• Where: GD
• Authors: Markus Chimani, Carsten Gutwenger, Petra Mutzel, Hoi-Ming Wong
• Keywords: Computer Graphics, GD 2009, Straight-forward Approaches, Upward Crossing Minimization, Upward Planar Representation