Edge Routing with Ordered Bundles

Pupyrev, Sergey and Nachmanson, Lev and Bereg, Sergey and Holroyd, Alexander E. (2012) Edge Routing with Ordered Bundles. In: Graph Drawing 19th International Symposium, GD 2011, September 21-23, 2011, Eindhoven, The Netherlands , pp. 136-147 (Official URL: http://dx.doi.org/10.1007/978-3-642-25878-7_14).

Full text not available from this repository.

Abstract

We propose a new approach to edge bundling. At the first stage we route the edge paths so as to minimize a weighted sum of the total length of the paths together with their ink. As this problem is NP-hard, we provide an efficient heuristic that finds an approximate solution. The second stage then separates edges belonging to the same bundle. To achieve this, we provide a new and efficient algorithm that solves a variant of the metro-line crossing minimization problem. The method creates aesthetically pleasing edge routes that give an overview of the global graph structure, while still drawing each edge separately, without intersecting graph nodes, and with few crossings.

Item Type:Conference Paper
Additional Information:10.1007/978-3-642-25878-7_14
Classifications:P Styles > P.300 Curved
P Styles > P.999 Others
ID Code:1248

Repository Staff Only: item control page

References

Chen, H.-F.S., Lee, D.T.: On crossing minimization problem. IEEE Transactions on Computer-aided Design of Integrated Circuits and Systems 17, 406–418 (1998)

Cui, W., Zhou, H., Qu, H., Wong, P.C., Li, X.: Geometry-based edge clustering for graph visualization. IEEE Trans. on Visualization and Computer Graphics 14(6), 1277–1284 (2008)

Dwyer, T., Nachmanson, L.: Fast Edge-Routing for Large Graphs. In: Eppstein, D., Gansner, E.R. (eds.) GD 2009. LNCS, vol. 5849, pp. 147–158. Springer, Heidelberg (2010)

Gansner, E., Hu, Y., North, S., Scheidegger, C.: Multilevel agglomerative edge bundling for visualizing large graphs. In: Proc. IEEE Pacific Visualization Symposium (to appear, 2011)

Gansner, E.R., Koren, Y.: Improved Circular Layouts. In: Kaufmann, M., Wagner, D. (eds.) GD 2006. LNCS, vol. 4372, pp. 386–398. Springer, Heidelberg (2007)

Garey, M.R., Johnson, D.S.: Computers and Intractability: A Guide to the Theory of NP-Completeness. W.H. Freeman and Company, New York (1979)

Guttman, A.: R-trees: A dynamic index structure for spatial searching. In: Proc. Int. Conf. on Management of Data, pp. 47–57 (1984)

Holten, D.: Hierarchical edge bundles: Visualization of adjacency relations in hierarchical data. IEEE Transactions on Visualization and Computer Graphics 12(5), 741–748 (2006)

Holten, D., van Wijk, J.J.: Force-directed edge bundling for graph visualization. Computer Graphics Forum 28(3), 983–990 (2009)

Lambert, A., Bourqui, R., Auber, D.: Winding Roads: Routing edges into bundles. Computer Graphics Forum 29(3 ), 853–862 (2010)

Nachmanson, L., Robertson, G., Lee, B.: Drawing Graphs with GLEE. In: Hong, S.-H., Nishizeki, T., Quan, W. (eds.) GD 2007. LNCS, vol. 4875, pp. 389–394. Springer, Heidelberg (2008)

Nöllenburg, M.: An Improved Algorithm for the Metro-Line Crossing Minimization Problem. In: Eppstein, D., Gansner, E.R. (eds.) GD 2009. LNCS, vol. 5849, pp. 381–392. Springer, Heidelberg (2010)

Pupyrev, S., Nachmanson, L., Kaufmann, M.: Improving Layered Graph Layouts with Edge Bundling. In: Brandes, U., Cornelsen, S. (eds.) GD 2010. LNCS, vol. 6502, pp. 329–340. Springer, Heidelberg (2011)

Gephi dataset, http://wiki.gephi.org/index.php?title=Datasets