Publication Type
Journal Article
Version
acceptedVersion
Publication Date
1-2023
Abstract
Over the past few decades, a large number of graph layout techniques have been proposed for visualizing graphs from various domains. In this paper, we present a general framework, Taurus, for unifying popular techniques such as the spring-electrical model, stress model, and maxent-stress model. It is based on a unified force representation, which formulates most existing techniques as a combination of quotient-based forces that combine power functions of graph-theoretical and Euclidean distances. This representation enables us to compare the strengths and weaknesses of existing techniques, while facilitating the development of new methods. Based on this, we propose a new balanced stress model (BSM) that is able to layout graphs in superior quality. In addition, we introduce a universal augmented stochastic gradient descent (SGD) optimizer that efficiently finds proper solutions for all layout techniques. To demonstrate the power of our framework, we conduct a comprehensive evaluation of existing techniques on a large number of synthetic and real graphs. We release an open-source package, which facilitates easy comparison of different graph layout methods for any graph input as well as effectively creating customized graph layout techniques.
Keywords
Framework, Gradient Descent, Graph Layout
Discipline
Databases and Information Systems | Graphics and Human Computer Interfaces
Research Areas
Data Science and Engineering
Publication
IEEE Transactions on Visualization and Computer Graphics
Volume
29
Issue
1
First Page
886
Last Page
895
ISSN
1077-2626
Identifier
10.1109/TVCG.2022.3209371
Publisher
Institute of Electrical and Electronics Engineers
Citation
XUE, Mingliang; WANG, Zhi; ZHONG, Fahai; WANG, Yong; XU, Mingliang; DEUSSEN, Oliver; and WANG, Yunhai.
Taurus: Towards a Unified Force Representation and Universal Solver for Graph Layout. (2023). IEEE Transactions on Visualization and Computer Graphics. 29, (1), 886-895.
Available at: https://ink.library.smu.edu.sg/sis_research/7795
Copyright Owner and License
Authors
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.
Additional URL
https://doi.org/10.1109/TVCG.2022.3209371
Included in
Databases and Information Systems Commons, Graphics and Human Computer Interfaces Commons