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Temporal graphs

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  • Kostakos, Vassilis

Abstract

We introduce the idea of temporal graphs, a representation that encodes temporal data into graphs while fully retaining the temporal information of the original data. This representation lets us explore the dynamic temporal properties of data by using existing graph algorithms (such as shortest-path), with no need for data-driven simulations. We also present a number of metrics that can be used to study and explore temporal graphs. Finally, we use temporal graphs to analyse real-world data and present the results of our analysis.

Suggested Citation

  • Kostakos, Vassilis, 2009. "Temporal graphs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(6), pages 1007-1023.
    • Handle: RePEc:eee:phsmap:v:388:y:2009:i:6:p:1007-1023
    DOI: 10.1016/j.physa.2008.11.021
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    References listed on IDEAS

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    1. Steven H. Strogatz, 2001. "Exploring complex networks," Nature, Nature, vol. 410(6825), pages 268-276, March.
    2. Holme, Petter & Min Park, Sung & Kim, Beom Jun & Edling, Christofer R., 2007. "Korean university life in a network perspective: Dynamics of a large affiliation network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 373(C), pages 821-830.
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    Cited by:

    1. Eduardo C. Costa & Alex B. Vieira & Klaus Wehmuth & Artur Ziviani & Ana Paula Couto Da Silva, 2015. "Time Centrality In Dynamic Complex Networks," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 18(07n08), pages 1-14, November.
    2. Xie, Wen-Jie & Zhou, Wei-Xing, 2011. "Horizontal visibility graphs transformed from fractional Brownian motions: Topological properties versus the Hurst index," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(20), pages 3592-3601.
    3. Sur, Souvik & Ganguly, Niloy & Mukherjee, Animesh, 2015. "Attack tolerance of correlated time-varying social networks with well-defined communities," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 420(C), pages 98-107.
    4. Liu, Chuang & Zhou, Wei-Xing & Yuan, Wei-Kang, 2010. "Statistical properties of visibility graph of energy dissipation rates in three-dimensional fully developed turbulence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(13), pages 2675-2681.

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