Drawing Large Graphs by Multilevel Maxent-Stress Optimization

Meyerhenke, Henning and Nöllenburg, Martin and Schulz, Christian (2015) Drawing Large Graphs by Multilevel Maxent-Stress Optimization. In: Graph Drawing and Network Visualization: 23rd International Symposium, GD 2015, September 24-26, 2015, Los Angeles, CA, USA , pp. 30-43 (Official URL: http://dx.doi.org/10.1007/978-3-319-27261-0_3).

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Drawing large graphs appropriately is an important step for the visual analysis of data from real-world networks. Here we present a novel multilevel algorithm to compute a graph layout with respect to a recently proposed metric that combines layout stress and entropy. As opposed to previous work, we do not solve the linear systems of the maxent-stress metric with a typical numerical solver. Instead we use a simple local iterative scheme within a multilevel approach. To accelerate local optimization, we approximate long-range forces and use shared-memory parallelism. Our experiments validate the high potential of our approach, which is particularly appealing for dynamic graphs. In comparison to the previously best maxent-stress optimizer, which is sequential, our parallel implementation is on average 30 times faster already for static graphs (and still faster if executed on one thread) while producing a comparable solution quality.

Item Type:Conference Paper
Classifications:M Methods > M.300 Dynamic / Incremental / Online
M Methods > M.400 Force-directed / Energy-based
ID Code:1475

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