Upward Planarization Layout
Journal of Graph Algorithms and Applications, Special Issue on Selected Papers from the Seventeenth International Symposium on Graph Drawing, GD 2009 , Tome 15 (2011) no. 1, pp. 127-155.

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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.
DOI : 10.7155/jgaa.00220
Keywords: graph drawing, crossing minimization, upward planar drawings
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Markus Chimani; Carsten Gutwenger; Petra Mutzel; Hoi-Ming Wong. Upward Planarization Layout. Journal of Graph Algorithms and Applications, 
							Special Issue on Selected Papers from the Seventeenth International Symposium on Graph Drawing, GD 2009
					, Tome 15 (2011) no. 1, pp. 127-155. doi : 10.7155/jgaa.00220. http://geodesic.mathdoc.fr/articles/10.7155/jgaa.00220/

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