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An Evolving Network Model from Clique Extension

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Computing and Combinatorics (COCOON 2022)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 13595))

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Abstract

We consider a new model for complex networks whose underlying mechanism is extending dense subgraphs. In the frustum model, we iteratively extend cliques over discrete-time steps. For many choices of the underlying parameters, graphs generated by the model densify over time. In the special case of the cone model, generated graphs provably satisfy properties observed in real-world complex networks such as the small world property and bad spectral expansion. We finish with a set of open problems and next steps for the frustum model.

Research supported by grants from NSERC and the Fields Institute.

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Authors and Affiliations

  1. Toronto Metropolitan University, Toronto, Canada

    Anthony Bonato, Ryan Cushman, Trent G. Marbach & Zhiyuan Zhang

Authors
  1. Anthony Bonato
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  2. Ryan Cushman
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  3. Trent G. Marbach
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  4. Zhiyuan Zhang
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Corresponding author

Correspondence to Anthony Bonato .

Editor information

Editors and Affiliations

  1. Shenzhen Institute of Advanced Technology, Shenzhen, China

    Yong Zhang

  2. Harbin Institute of Technology, Harbin, China

    Dongjing Miao

  3. Technical University of Berlin, Berlin, Germany

    Rolf Möhring

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Bonato, A., Cushman, R., Marbach, T.G., Zhang, Z. (2022). An Evolving Network Model from Clique Extension. In: Zhang, Y., Miao, D., Möhring, R. (eds) Computing and Combinatorics. COCOON 2022. Lecture Notes in Computer Science, vol 13595. Springer, Cham. https://doi.org/10.1007/978-3-031-22105-7_38

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  • DOI: https://doi.org/10.1007/978-3-031-22105-7_38

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-22104-0

  • Online ISBN: 978-3-031-22105-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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