Journal of Computer Science and Technology ›› 2021, Vol. 36 ›› Issue (3): 707-718.doi: 10.1007/s11390-021-9910-5

Special Issue: Computer Graphics and Multimedia

• Regular Paper • Previous Articles    

Inverse Markov Process Based Constrained Dynamic Graph Layout

Shi-Ying Sheng1, Sheng-Tao Chen2, Xiao-Ju Dong2,*, Distinguished Member, CCF, Chun-Yuan Wu1, and Xiao-Ru Yuan3, Distinguished Member, CCF, Senior Member, IEEE, Member, ACM        

  1. 1 ParisTech Elite Institute of Technology, Shanghai Jiao Tong University, Shanghai 200240, China;
    2 Department of Computer Science and Engineering, Shanghai Jiao Tong University, Shanghai 200240, China;
    3 Key Laboratory of Machine Perception(Ministry of Education), National Engineering Laboratory for Big Data Analysis and Application, Peking University, Beijing 100080, China
  • Received:2019-08-06 Revised:2021-01-12 Online:2021-05-05 Published:2021-05-31
  • Contact: Xiao-Ju Dong E-mail:xjdong@sjtu.edu.cn
  • About author:Shi-Ying Sheng is a Master student in Shanghai Jiao Tong University, Shanghai. She received her B.S. degree in software engineering from Shanghai Jiao Tong University, Shanghai, in 2017. Her research interests are graph computing and visualization.
  • Supported by:
    This research was supported by the National Key Research and Development Program of China under Grant No. 2017YFB0701900, the National Natural Science Foundation of China under Grant No. 61100053, and the Key Laboratory of Machine Perception of Peking University under Grant No. K-2019-09.

In online dynamic graph drawing, constraints over nodes and node pairs help preserve a coherent mental map in a sequence of graphs. Defining the constraints is challenging due to the requirements of both preserving mental map and satisfying the visual aesthetics of a graph layout. Most existing algorithms basically depend on local changes but fail to do proper evaluations on the global propagation when setting constraints. To solve this problem, we introduce a heuristic model derived from PageRank which simulates the node movement as an inverse Markov process hence to give a global analysis of the layout's change, according to which different constraints can be set. These constraints, along with stress function, generate layouts maintaining spatial positions and shapes of relatively stable substructures between adjacent graphs. Experiments demonstrate that our method preserves both structure and position similarity to help users track graph changes visually.

Key words: graph drawing; data stream; dynamic graph layout;

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