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A fast multi-scale method for drawing large graphs

Published: 01 May 2000 Publication History

Abstract

We present a multi-scale layout algorithm for the aesthetic drawing of undirected graphs with straight-line edges. The algorithm is extremely fast, and is capable of drawing graphs of substantially larger size than any other algorithm we are awars of. For example, the algorithm achieves optimal drawings of 1000 vertex graphs in less than 3 seconds. The paper contains graphs with over 6000 nodes. The proposed algorithm embodies a new multi-scale scheme for drawing graphs, which can significantly improve the speed of essentially any force-directed method.
Graphs have become an important part of recently proposed user interfaces, hence the relevance of this paper to work on interface issues.

References

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R. Davidson and D. Hard. Drawing graphs nicely using simulated annealing. A CM Trans. on Graphics, 15:301-331, 1996.]]
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P. Eades. A heuristic for graph drawing. Congressus Numerantium, 42:149-160, 1984.]]
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D. S. H. (ed.). Approximation Algorithms for gP-Hard Problems. PWS Publishing Company, 1996.]]
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T. Fruchterman and E. Reingold. Graph drawing by force-directed placement. Software-Practice and Experience, 21:1129-1164, 1991.]]
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R. Hadany and D. Harel. A multi-scale method for drawing graphs nicely. In Proc. 25th Inter. Workshop on Graph-Theoretic Concepts in Computer Science, 1999.]]
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T. Kamada and S. Kawai. An algorithm for drawing general undirected graphs. Information Processing Letters, 31(5):7-15, 1989.]]

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cover image ACM Conferences
AVI '00: Proceedings of the working conference on Advanced visual interfaces
May 2000
317 pages
ISBN:1581132522
DOI:10.1145/345513
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Published: 01 May 2000

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  • (2023)Who Drives Disaster Communication? An Analysis of Twitter Network Structure and Influence during a Wildfire CrisisWestern Journal of Communication10.1080/10570314.2023.216905288:4(840-860)Online publication date: 24-Jan-2023
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