Upward Planarization Layout

Markus Chimani, Carsten Gutwenger, Petra Mutzel, Hoi-Ming Wong · Journal of Graph Algorithms and Applications · 2011

Recently, we presented a new practical method for upward crossing minimization [], 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.

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