Monday, October 1, 2012

Force-Directed Drawing Algorithms - Brown University

Force-Directed Drawing Algorithms - Brown University12 Force-Directed Drawing Algorithms Stephen G. Kobourov University of Arizona 12.1 Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 12.2 Spring Systems and Electrical Forces . . . . . . . . . . .

. . . . . . . . . . 3 12.3 The Barycentric Method . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 12.4 Graph Theoretic Distances Approach . . . . . . . . . . . . . . . . . . . . . 6 12.5 Further Spring Refinements. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 12.6 Large Graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 12.7 Stress Majorization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 12.8 Non-Euclidean Approaches . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 12.9 Lombardi Spring Embedders . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 12.10Dynamic Graph Drawing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 12.11Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 12.1 Introduction Some of the most flexible algorithms for calculating layouts of simple undirected graphs belong to a class...

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