Titlebook: Drawing Graphs; Methods and Models Michael Kaufmann,Dorothea Wagner Textbook 2001 Springer-Verlag Berlin Heidelberg 2001 3D.Combinatorics.C

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3D Graph Drawing,, representing graphs in three dimensions offers various benefits. The extra dimension gives greater flexibility for placing the vertices and edges of a graph and crossings can be always avoided. On the other hand new challenges arise: current output media have a two-dimensional nature and can only

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Drawing Clusters and Hierarchies,o solve this problem is, for example, fish-eye representation, which allows one to display a small part of the graph enlarged while the graph is shown completely (see e.g. Formella and Keller (1995)). Another way is drawing only a part of the graph. The method presented here is clustering, that is g

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Map Labeling with Application to Graph Drawing,aphical features. Until now, the placement of labels is primarily performed manually, particularly in map production. For example, in the area of Cartography, Geographic Information Systems (GIS), and Graph Drawing map labeling usually has to be performed efficiently. Therefore, it is highly desirab

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Software Packages, with the ability to actually draw some graphs. In this appendix, we list some software packages that should enable the reader to try out many of the algorithms that have been presented. In view of the number of the ever growing number of available programs, we are aware that this list is incomplete

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Virtual Reality and Augmented Realityen, such knowledge is not provided. In this chapter, we take a look at a class of methods applicable to general graphs, without prior knowledge of any structural properties. Their common denominator is that they liken the graph to a system of interacting physical objects, the underlying assumption b

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Virtual Reality and Augmented Realityyo f a drawing: ideally, it should be easy to understand the structure of a graph with just a few glances, and the chance of confusion over connections between different vertices should be small. From an algorithmic point of view, it is necessary to capture this qualityb ymea ns of an objective func