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Parallel Clique-Like Subgraph Counting and Listing

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Conceptual Modeling (ER 2019)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 11788))

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Abstract

Cliques and clique-like subgraphs (e.g., quasi-cliques) are important dense structures whose counting or listing are essential in applications like complex network analysis and community detection. These problems are usually solved by divide and conquer, where a task over a big graph can be recursively divided into subtasks over smaller subgraphs whose search spaces are disjoint. This divisible algorithmic paradigm brings enormous potential for parallelism, since different subtasks can run concurrently to drastically reduce the overall running time.

In this paper, we explore this potential by proposing a unified framework for counting and listing clique-like subgraphs. We study how to divide and distribute the counting and listing tasks, and meanwhile, to balance the assigned workloads of each thread dynamically. Four applications are studied under our parallel framework, i.e., triangle counting, clique counting, maximal clique listing and quasi-clique listing. Extensive experiments are conducted which demonstrate that our solution achieves an ideal speedup on various real graph datasets.

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Acknowledgements

Yang and Zhou were supported by National Natural Science Foundation of China (NSFC) under grant No. U1636205, Yan and Guo were partially supported by NSF OAC-1755464 and NSF DGE-1723250.

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Authors and Affiliations

  1. Shanghai Key Lab of Intelligent Information Processing, and School of Computer Science, Fudan University, Shanghai, 200433, China

    Yi Yang & Shuigeng Zhou

  2. Department of Computer Science, The University of Alabama at Birmingham, Birmingham, USA

    Da Yan & Guimu Guo

Authors
  1. Yi Yang
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  2. Da Yan
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  3. Shuigeng Zhou
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  4. Guimu Guo
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Corresponding author

Correspondence to Shuigeng Zhou .

Editor information

Editors and Affiliations

  1. Universidade Federal de Minas Gerais, Belo Horizonte, Brazil

    Alberto H. F. Laender

  2. Politecnico di Milano, Milan, Italy

    Barbara Pernici

  3. Singapore Management University, Singapore, Singapore

    Ee-Peng Lim

  4. Univ Federal do Rio Grande do Sul, Porto Alegre, Brazil

    José Palazzo M. de Oliveira

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Yang, Y., Yan, D., Zhou, S., Guo, G. (2019). Parallel Clique-Like Subgraph Counting and Listing. In: Laender, A., Pernici, B., Lim, EP., de Oliveira, J. (eds) Conceptual Modeling. ER 2019. Lecture Notes in Computer Science(), vol 11788. Springer, Cham. https://doi.org/10.1007/978-3-030-33223-5_40

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  • DOI: https://doi.org/10.1007/978-3-030-33223-5_40

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  • Online ISBN: 978-3-030-33223-5

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