Force-Directed Graph Layouts Revisited: A New Force Based on the T-Distribution

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Abstract
In this paper, we propose the t-FDP model, a force-directed placement method based on a novel bounded short-range force (t-force) defined by Student’s t-distribution. Our formulation is flexible, exerts limited repulsive forces for nearby nodes and can be adapted separately in its short- and long-range effects. Using such forces in force-directed graph layouts yields better neighborhood preservation than current methods, while maintaining low stress errors. Our efficient implementation using a Fast Fourier Transform is one order of magnitude faster than state-of-the-art methods and two orders faster on the GPU, enabling us to perform parameter tuning by globally and locally adjusting the t-force in real-time for complex graphs. We demonstrate the quality of our approach by numerical evaluation against state-of-the-art approaches and extensions for interactive exploration.
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Funding Information
  • National Key Research & Development Plan of China (2019YFB1704201)
  • Natural Science Foundation of Shandong Province (ZR2022JQ32)
  • National Natural Science Foundation of China (62132017, 62141217)
  • Deutsche Forschungsgemeinschaft (EXC 2117 - 422037984)

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