Upward Planarization Layout

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چکیده

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Upward Planarization Layout

Abstract. 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...

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Drawing directed graphs has many applications and occurs whenever a natural flow of information is to be visualized. Given a directed acyclic graph (DAG) G, we are interested in an upward drawing of G, that is, a drawing of G in which all arcs are drawn as curves that are monotonically increasing in the vertical direction. Besides the upward property, it is desirable that the number of arc cros...

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An Approach for Mixed Upward Planarization

In this paper, we consider the problem of finding a mixed upward planarization of a mixed graph, i.e., a graph with directed and undirected edges. The problem is a generalization of the planarization problem for undirected graphs and is motivated by several applications in graph drawing. We present a heuristic approach for this problem which provides good quality and reasonable running time in ...

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Graph Planarization

A graph is said to be planar if it can be drawn on the plane in such a way that no two of its edges cross. Given a graph G = (V,E) with vertex set V and edge set E, the objective of graph planarization is to find a minimum cardinality subset of edges F ⊆ E such that the graph G = (V,E \ F ), resulting from the removal of the edges in F from G, is planar. This problem is also known as the maximu...

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ژورنال

عنوان ژورنال: Journal of Graph Algorithms and Applications

سال: 2011

ISSN: 1526-1719

DOI: 10.7155/jgaa.00220