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International Conference on Combinatorial Optimization and Applications

COCOA 2011: Combinatorial Optimization and Applications pp 234–246Cite as

On the Maximum Locally Clustered Subgraph and Some Related Problems

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Part of the Lecture Notes in Computer Science book series (LNTCS,volume 6831)

Abstract

Motivated by detecting false friend links in online social networks, we define two optimization problems based on the balance theory for structural transitivity in social networks. We give a polynomial time algorithm for one problem and show the NP-hardness of the other. For the NP-hard problem, we show some polynomial time solvable cases and give a 2-approximation algorithm for a restricted version. We also propose a heuristic algorithm for a more general version of the problem.

Keywords

  • algorithm
  • social network analysis
  • time complexity
  • NP-hard
  • approximation algorithm

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  • DOI: 10.1007/978-3-642-22616-8_19
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Author information

Authors and Affiliations

  1. National Chung Cheng University, ChiaYi, 621, Taiwan R.O.C.

    Bang Ye Wu

Authors
  1. Bang Ye Wu
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Editor information

Editors and Affiliations

  1. Zhejiang Normal University, 688 Yingbin Road, 321004, Jinhua, Zhejiang Province, China

    Weifan Wang & Xuding Zhu & 

  2. Department of Computer Science, University of Texas at Dallas, 75080, Richardson, TX, USA

    Ding-Zhu Du

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Wu, B.Y. (2011). On the Maximum Locally Clustered Subgraph and Some Related Problems. In: Wang, W., Zhu, X., Du, DZ. (eds) Combinatorial Optimization and Applications. COCOA 2011. Lecture Notes in Computer Science, vol 6831. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22616-8_19

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  • DOI: https://doi.org/10.1007/978-3-642-22616-8_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-22615-1

  • Online ISBN: 978-3-642-22616-8

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