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Dynamic Graph Visualization

Introduction

Timeline Trees visualization for a market basket data set showing 5 transactions

Visualizing dynamic directed and weighted graphs with an additional hierarchical organization of the graph vertices is a challenging task. Many data dimensions have to be represented at the same time:

  • the graph vertices
  • the adjacency edges induced by the graph
  • the weights of the adjacency edges
  • the inclusion edges induced by the hierarchy
  • the evolution of the graph over time

Traditional approaches use a time-to-time mapping and show the time-varying graph data as animated sequences of node-link diagrams. Though this visualization strategy is very intuitive it also has some drawbacks:

  • if the graphs are very dense, i.e. have many edges, visual clutter occurs caused by many edge crossings
  • animation leads to cognitive efforts for a viewer to preserve his mental map
  • sophisticated layout algorithms are needed to circumwent the two former mentioned problems that have a high run time complexity

Research

In our research we avoid a time-to-time mapping and encode the time dimension into space instead. We use stacked graphical color coded elements to show weighted time-varying relations and we show links only implicitly by different orientations instead of direct explicit links as in node-link diagrams.

 

Layered TimeRadarTrees visualization showing more than 6,000,000 data points of an evolving directed and weighted graph
TimeRadarTrees visualization for soccer match results of 14 years in a part of Europe
The thumbnail view for the goalkeeper showing all weighted relations to all other players in a specific time interval

 

Our approach allows to easily explore a time-varying graph data set for trends, countertrends, and anomalies and has many benefits:

  • visual clutter is reduced by showing the links implicitly
  • cognitive efforts are reduced and the mental map is preserved by using static images
  • interactive features can easily be applied
  • run time complexities are reduced and graphs can be added on-the-fly.

Publications

2013

Scale-Stack Bar Charts
Hlawatsch, Marcel; Sadlo, Filip; Burch, Michael; Weiskopf, Daniel: Scale-Stack Bar Charts. In: Computer Graphics Forum: No. 3 (2013) (to appear).
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Matching Application Requirements with Dynamic Graph Visualization Profiles
Beck, Fabian; Burch, Michael; Diehl, Stephan: Matching Application Requirements with Dynamic Graph Visualization Profiles. In: IV '13 (to appear).
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Visual Task Solution Strategies in Tree Diagrams
Burch, Michael; Andrienko, Gennady L.; Andrienko, Natalia V.; Höferlin, Markus; Raschke, Michael; Weiskopf, Daniel: Visual Task Solution Strategies in Tree Diagrams. In: Proceedings of the IEEE PacificVIS 2013, pp. 169-176, 2013.
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Vehlow, Corinna; Burch, Michael; Schmauder, Hansjörg; Weiskopf, Daniel: Radial Layered Matrix Visualization of Dynamic Graphs. In: Proceedings of 17th International Conference on Information Visualization (IV) (to appear).
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2012

Müller, Christoph; Reina, Guido; Burch, Michael; Weiskopf, Daniel: Large-Scale Visualization Projects for Teaching Software Engineering. In: Computer Graphics and Applications: No. 4 (2012), pp. 14-19.
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Andrienko, Natalia V.; Andrienko, Gennady L.; Burch, Michael; Weiskopf, Daniel: Visual Analytics Methodology for Eye Movement Studies. In: IEEE Conference on Visual Analytics Science and Technology (VAST) (to appear).
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Rapid Serial Visual Presentation in Dynamic Graph Visualization
Beck, Fabian; Burch, Michael; Vehlow, Corinna; Diehl, Stephan; Weiskopf, Daniel: Rapid Serial Visual Presentation in Dynamic Graph Visualization. In: IEEE Symposium on Visual Languages and Human-Centric Computing (VL/HCC 2012), pp. 185-192, 2012.
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Radial Edge Splatting for Visualizing Dynamic Directed Graphs
Burch, Michael; Beck, Fabian; Weiskopf, Daniel: Radial Edge Splatting for Visualizing Dynamic Directed Graphs. In: IVAPP '12: Proceedings of the International Conference on Information Visualization Theory and Applications, pp. 603-612, 2012.
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Enriching Indented Pixel Tree Plots with Node-Oriented Quantitative, Categorical, Relational, and Time-Series Data
Burch, Michael; Raschke, Michael; Greis, Miriam; Weiskopf, Daniel: Enriching Indented Pixel Tree Plots with Node-Oriented Quantitative, Categorical, Relational, and Time-Series Data. In: Diagrammatic Representation and Inference - 7th International Conference, Diagrams 2012, Canterbury, UK, July 2-6, 2012. Proceedings., pp. 102-116, 2012.
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Lohmann, Steffen; Burch, Michael; Schmauder, Hansjörg; Weiskopf, Daniel: Visual Analysis of Microblog Content Using Time-Varying Co-occurrence Highlighting in Tag Clouds. In: Proceedings of the International Working Conference on Advanced Visual Interfaces (AVI '12), pp. 753-756, 2012.
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Spectral Analysis of Higher-Order and BFECC Texture Advection
Netzel, Rudolf; Ament, Marco; Burch, Michael; Weiskopf, Daniel: Spectral Analysis of Higher-Order and BFECC Texture Advection. In: Workshop on Vision, Modeling and Visualization (VMV) (to appear).
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2011

Burch, Michael; Heinrich, Julian; Konevtsova, Natalia; Höferlin, Markus; Weiskopf, Daniel: Evaluation of Traditional, Orthogonal, and Radial Tree Diagrams by an Eye Tracking Study. In: IEEE Transactions on Visualization and Computer Graphics: No. 6 (2011), p. 2440–2448.
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Parallel Edge Splatting for Scalable Dynamic Graph Visualization
Burch, Michael; Vehlow, Corinna; Beck, Fabian; Diehl, Stephan; Weiskopf, Daniel: Parallel Edge Splatting for Scalable Dynamic Graph Visualization. In: IEEE Transactions on Visualization and Computer Graphics: No. 12 (2011), pp. 2344-2353.
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Burch, Michael; Höferlin, Markus; Weiskopf, Daniel: Layered TimeRadarTrees. In: Proceedings of 15th International Conference on Information Visualization (IV), pp. 18-25, 2011.
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Evaluating Partially Drawn Links for Directed Graph Edges
Burch, Michael; Vehlow, Corinna; Konevtsova, Natalia; Weiskopf, Daniel: Evaluating Partially Drawn Links for Directed Graph Edges. In: In 19th International Symposium on Graph Drawing (to appear).
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Visualizing Dynamic Quantitative Data in Hierarchies. TimeEdgeTrees: Attaching Dynamic Weights to Tree Edges
Burch, Michael; Weiskopf, Daniel: Visualizing Dynamic Quantitative Data in Hierarchies. TimeEdgeTrees: Attaching Dynamic Weights to Tree Edges. In: Proceedings of International Conference on Visualization Theory and Applications, pp. 177-186, 2011.
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BiCluster Viewer: A Visualization Tool for Analyzing Gene Expression Data
Heinrich, Julian; Seifert, Julian; Burch, Michael; Weiskopf, Daniel: BiCluster Viewer: A Visualization Tool for Analyzing Gene Expression Data. In: Proceedings of International Symposium on Visual Computing (ISVC), p. 641–652, 2011.
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2010

Uncovering Strengths and Weaknesses of Radial Visualizations---an Empirical Approach
Diehl, Stephan; Beck, Fabian; Burch, Michael: Uncovering Strengths and Weaknesses of Radial Visualizations---an Empirical Approach. In: . IEEE Trans. Vis. Comput. Graph.: No. 6 (2010), pp. 935-942.
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TimeSpiderTrees: A Novel Visual Metaphor for Dynamic Compound Graphs
Burch, Michael; Fritz, Peter; Beck, Fabian; Diehl, Stephan: TimeSpiderTrees: A Novel Visual Metaphor for Dynamic Compound Graphs. In: VL/HCC 2010, pp. 168-175, 2010.
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Indented Pixel Tree Plots
Burch, Michael; Raschke, Michael; Weiskopf, Daniel: Indented Pixel Tree Plots. In: International Symposium on Visual Computing, 2010.
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Subversion Statistics Sifter
Müller, Christoph; Reina, Guido; Burch, Michael; Weiskopf, Daniel: Subversion Statistics Sifter. In: Proceedings of International Symposium on Visual Computing (ISVC 2010), pp. 447-457, 2010.
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2009

Visualizing the Evolution of Compound Digraphs with TimeArcTrees
Greilich, Martin; Burch, Michael; Diehl, Stephan: Visualizing the Evolution of Compound Digraphs with TimeArcTrees. In: Comput. Graph. Forum: No. 3 (2009), pp. 975-982.
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2008

Burch, Michael; Diehl, Stephan: Visualizing Dynamic Compound Digraphs. In: Comput. Graph. Forum: No. 3 (2008), pp. 823-830.
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Timeline trees: visualizing sequences of transactions in information hierarchies
Burch, Michael; Beck, Fabian; Diehl, Stephan: Timeline trees: visualizing sequences of transactions in information hierarchies. In: AVI 2008, pp. 75-82, 2008.
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Burch, Michael; Bott, Felix; Beck, Fabian; Diehl, Stephan: Cartesian vs. Radial - A Comparative Evaluation of Two Visualization Tools. In: ISVC (1) 2008, pp. 151-160, 2008.
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