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Finding Induced Subgraphs in Scale-Free Inhomogeneous Random Graphs

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Algorithms and Models for the Web Graph (WAW 2018)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10836))

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Abstract

We study the induced subgraph isomorphism problem on inhomogeneous random graphs with infinite variance power-law degrees. We provide a fast algorithm that determines for any connected graph H on k vertices if it exists as induced subgraph in a random graph with n vertices. By exploiting the scale-free graph structure, the algorithm runs in O(nk) time for small values of k. We test our algorithm on several real-world data sets.

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Acknowledgements

The work of JvL and CS was supported by NWO TOP grant 613.001.451. The work of JvL was further supported by the NWO Gravitation Networks grant 024.002.003, an NWO TOP-GO grant and by an ERC Starting Grant.

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Authors and Affiliations

  1. Eindhoven University of Technology, Eindhoven, The Netherlands

    Ellen Cardinaels, Johan S. H. van Leeuwaarden & Clara Stegehuis

Authors
  1. Ellen Cardinaels
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  2. Johan S. H. van Leeuwaarden
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  3. Clara Stegehuis
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Corresponding author

Correspondence to Clara Stegehuis .

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Editors and Affiliations

  1. Department of Mathematics, Ryerson University, Toronto, Ontario, Canada

    Anthony Bonato

  2. Department of Mathematics, Ryerson University, Toronto, Ontario, Canada

    Paweł Prałat

  3. Department of Discrete Mathematics, Moscow Institute of Physics and Technology, Dolgoprudny, Russia

    Andrei Raigorodskii

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Cardinaels, E., van Leeuwaarden, J.S.H., Stegehuis, C. (2018). Finding Induced Subgraphs in Scale-Free Inhomogeneous Random Graphs. In: Bonato, A., Prałat, P., Raigorodskii, A. (eds) Algorithms and Models for the Web Graph. WAW 2018. Lecture Notes in Computer Science(), vol 10836. Springer, Cham. https://doi.org/10.1007/978-3-319-92871-5_1

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  • DOI: https://doi.org/10.1007/978-3-319-92871-5_1

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-92870-8

  • Online ISBN: 978-3-319-92871-5

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