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GraphMaps: Browsing Large Graphs as Interactive Maps Read chapter Read first chapter

2015 | OriginalPaper | Chapter

A Million Edge Drawing for a Fistful of Dollars

Authors : Alessio Arleo, Walter Didimo, Giuseppe Liotta, Fabrizio Montecchiani

Published in: Graph Drawing and Network Visualization

Publisher: Springer International Publishing

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Abstract

In this paper we study the problem of designing a graph drawing algorithm for large graphs. The algorithm must be simple to implement and the computing infrastructure must not require major hardware or software investments. We report about the experimental analysis of a simple implementation of a spring embedder in Giraph, a vertex-centric open source framework for distributed computing. The algorithm is tested on real graphs of up to 1 million edges by using a cheap PaaS (Platform as a Service) infrastructure of Amazon. We can afford drawing graphs with about one million edges in about 8 min, by spending less than 1 USD per drawing for the cloud computing infrastructure.

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previous chapter Drawing Large Graphs by Multilevel Maxent-Stress Optimization
next chapter Faster Force-Directed Graph Drawing with the Well-Separated Pair Decomposition
Literature
1.
Brandes, U., Pich, C.: Eigensolver methods for progressive multidimensional scaling of large data. In: Kaufmann, M., Wagner, D. (eds.) GD 2006. LNCS, vol. 4372, pp. 42–53. Springer, Heidelberg (2007) CrossRef
2.
Chae, S., Majumder, A., Gopi, M.: Hd-graphviz: highly distributed graph visualization on tiled displays. In: ICVGIP 2012, pp. 43:1–43:8. ACM (2012)
3.
Ching, A.: Giraph: large-scale graph processing infrastructure on hadoop. In: Hadoop Summit (2011)
4.
Di Battista, G., Eades, P., Tamassia, R., Tollis, I.G.: Graph Drawing. Prentice Hall, Upper Saddle River, NJ (1999)MATH
5.
6.
Fruchterman, T.M.J., Reingold, E.M.: Graph drawing by force-directed placement. Software, Practice and Experience 21(11), 1129–1164 (1991)CrossRef
7.
Godiyal, A., Hoberock, J., Garland, M., Hart, J.C.: Rapid multipole graph drawing on the GPU. In: Tollis, I.G., Patrignani, M. (eds.) GD 2008. LNCS, vol. 5417, pp. 90–101. Springer, Heidelberg (2009) CrossRef
8.
Hachul, S., Jünger, M.: Drawing large graphs with a potential-field-based multilevel algorithm. In: Pach, J. (ed.) GD 2004. LNCS, vol. 3383, pp. 285–295. Springer, Heidelberg (2005) CrossRef
9.
Ingram, S., Munzner, T., Olano, M.: Glimmer: multilevel MDS on the GPU. IEEE Trans. Vis. Comput. Graph. 15(2), 249–261 (2009)CrossRef
10.
Kobourov, S.G.: Force-directed drawing algorithms. In: Tamassia, R. (ed.) Handbook of Graph Drawing and Visualization, pp. 383–408. CRC Press, Boca Raton (2013)
11.
Malewicz, G., Austern, M.H., Bik, A.J., Dehnert, J.C., Horn, I., Leiser, N., Czajkowski, G.: Pregel: a system for large-scale graph processing. In: SIGMOD 2010, pp. 135–146. ACM (2010)
12.
McCune, R.R., Weninger, T., Madey, G.: Thinking like a vertex: a survey of vertex-centric frameworks for large-scale distributed graph processing. ACM Comput. Surv. 1(1), 1–35 (2015)CrossRef
13.
Mueller, C., Gregor, D., Lumsdaine, A.: Distributed force-directed graph layout and visualization. In: EGPGV 2006, pp. 83–90. Eurographics (2006)
14.
Sharma, P., Khurana, U., Shneiderman, B., Scharrenbroich, M., Locke, J.: Speeding up network layout and centrality measures for social computing goals. In: Salerno, J., Yang, S.J., Nau, D., Chai, S.-K. (eds.) SBP 2011. LNCS, vol. 6589, pp. 244–251. Springer, Heidelberg (2011) CrossRef
15.
Tikhonova, A., Ma, K.: A scalable parallel force-directed graph layout algorithm. In: EGPGV 2008, pp. 25–32. Eurographics (2008)
16.
Valiant, L.G.: A bridging model for parallel computation. Commun. ACM 33(8), 103–111 (1990)CrossRef
17.
Vaquero, L.M., Cuadrado, F., Logothetis, D., Martella, C.: Adaptive partitioning for large-scale dynamic graphs. In: ICDCS 2014, pp. 144–153. IEEE (2014)
18.
Yunis, E., Yokota, R., Ahmadia, A.: Scalable force directed graph layout algorithms using fast multipole methods. In: ISPDC 2012, pp. 180–187. IEEE (2012)
Metadata
Title
A Million Edge Drawing for a Fistful of Dollars
Authors
Alessio Arleo
Walter Didimo
Giuseppe Liotta
Fabrizio Montecchiani
Copyright Year
2015
Book
Graph Drawing and Network Visualization

Print ISBN: 978-3-319-27260-3

Electronic ISBN: 978-3-319-27261-0

Copyright Year: 2015

DOI
https://doi.org/10.1007/978-3-319-27261-0_4

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