The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.
Clique Relaxations in Social Network Analysis: The Maximum k-Plex Problem
Abstract
This paper introduces and studies the maximum k-plex problem, which arises in social network analysis and has wider applicability in several important areas employing graph-based data mining. After establishing NP-completeness of the decision version of the problem on arbitrary graphs, an integer programming formulation is presented, followed by a polyhedral study to identify combinatorial valid inequalities and facets. A branch-and-cut algorithm is implemented and tested on proposed benchmark instances. An algorithmic approach is developed exploiting the graph-theoretic properties of a k-plex that is effective in solving the problem to optimality on very large, sparse graphs such as the power law graphs frequently encountered in the applications of interest.
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Cites
Emergence of Scaling in Random Networks
Barabási, A.-L., & Albert, R. (1999) · Science · doi:10.1126/science.286.5439.509 · Cited by 36,135
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Wasserman, S., & Faust, K. (1994) · doi:10.1017/cbo9780511815478 · Cited by 17,557
Error and attack tolerance of complex networks
Albert, R., Jeong, H., & Barabási, A.-L. (2000) · Nature · doi:10.1038/35019019 · Cited by 7,534
A comprehensive two-hybrid analysis to explore the yeast protein interactome
Ito, T., Chiba, T., Ozawa, R., Yoshida, M., Hattori, M., & Sakaki, Y. (2001) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.061034498 · Cited by 3,566
Cited by
A classification for community discovery methods in complex networks
Coscia, M., Giannotti, F., & Pedreschi, D. (2011) · Statistical Analysis and Data Mining: The ASA Data Science Journal · doi:10.1002/sam.10133 · Cited by 353
A survey of community search over big graphs
Fang, Y., Huang, X., Qin, L., Zhang, Y., Zhang, W., Cheng, R., & Lin, X. (2020) · The VLDB Journal · doi:10.1007/s00778-019-00556-x · Cited by 339
A review on algorithms for maximum clique problems
Wu, Q., & Hao, J.-K. (2015) · European Journal of Operational Research · doi:10.1016/j.ejor.2014.09.064 · Cited by 314
Applications of near-term photonic quantum computers: software and algorithms
Bromley, T. R., Arrazola, J. M., Jahangiri, S., Izaac, J., Quesada, N., Gran, A. D., Schuld, M., Swinarton, J., Zabaneh, Z., & Killoran, N. (2020) · Quantum Science and Technology · doi:10.1088/2058-9565/ab8504 · Cited by 128
Metadata
- Authors
- Balasundaram, B., Butenko, S., & Hicks, I. V.
- Venue
- Operations Research
- Published
- 2011-02
- Volume
- 59
- Issue
- 1
- Pages
- 133-142
- ISSN
- 0030-364X (ISSN-L)
- 1526-5463
- OpenAlex
- W2169088933
- Cited by
- 302
- References
- 4
- FWCI
- 14.65
- Type
- journal article
- Language
- en
- Open access
- closed
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- Balasundaram, B., Butenko, S., & Hicks, I. V. (2011). Clique Relaxations in Social Network Analysis: The Maximum k-Plex Problem. Operations Research. https://doi.org/10.1287/opre.1100.0851
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