Large-Graph Layout Algorithms at Work: An Experimental Study

In the last decade several algorithms that generate straight-line drawings of general large graphs have been invented. In this paper we investigate some of these methods that are based on force-directed or algebraic approaches in terms of running time and drawing quality on a big variety of artificial and real-world graphs. Our experiments indicate that there exist significant differences in drawing qualities and running times depending on the classes of tested graphs and algorithms.

[1]  Peter Eades,et al.  A Heuristic for Graph Drawing , 1984 .

[2]  Teofilo F. GONZALEZ,et al.  Clustering to Minimize the Maximum Intercluster Distance , 1985, Theor. Comput. Sci..

[3]  Satoru Kawai,et al.  An Algorithm for Drawing General Undirected Graphs , 1989, Inf. Process. Lett..

[4]  Joseph Manning,et al.  Computational Complexity of Geometric Symmetry Detection in Graphs , 1989, Great Lakes Computer Science Conference.

[5]  Edward M. Reingold,et al.  Graph drawing by force‐directed placement , 1991, Softw. Pract. Exp..

[6]  Andreas Ludwig,et al.  A Fast Adaptive Layout Algorithm for Undirected Graphs , 1994, GD.

[7]  David Harel,et al.  Drawing graphs nicely using simulated annealing , 1996, TOGS.

[8]  Daniel Tunkelang,et al.  JIGGLE: Java Interactive Graph Layout Environment , 1998, GD.

[9]  Stephen G. Kobourov,et al.  Journal of Graph Algorithms and Applications Grip: Graph Drawing with Intelligent Placement , 2022 .

[10]  David Harel,et al.  A fast multi-scale method for drawing large graphs , 2000, AVI '00.

[11]  Chris Walshaw,et al.  Journal of Graph Algorithms and Applications a Multilevel Algorithm for Force-directed Graph-drawing , 2022 .

[12]  Peter Eades,et al.  FADE: Graph Drawing, Clustering, and Visual Abstraction , 2000, GD.

[13]  Petra Mutzel,et al.  AGD - A Library of Algorithms for Graph Drawing , 1998, Graph Drawing Software.

[14]  David Harel,et al.  Graph Drawing by High-Dimensional Embedding , 2002, J. Graph Algorithms Appl..

[15]  Dorothea Wagner,et al.  Analysis and Visualization of Social Networks , 2003, Graph Drawing Software.

[16]  David Harel,et al.  Drawing Huge Graphs by Algebraic Multigrid Optimization , 2003, Multiscale Model. Simul..

[17]  Michael Jünger,et al.  Drawing Large Graphs with a Potential-Field-Based Multilevel Algorithm , 2004, GD.

[18]  Michael T. Goodrich,et al.  A multi-dimensional approach to force-directed layouts of large graphs , 2000, Comput. Geom..

[19]  Stefan Hachul.  A potential field based multilevel algorithm for drawing large graphs , 2005 .