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Optimization problems for the maximum \(k\)-plex

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Publication:2103796
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DOI10.1007/s10559-022-00488-5OpenAlexW4306690291MaRDI QIDQ2103796

Yanyan Li

Publication date: 9 December 2022

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10559-022-00488-5


zbMATH Keywords

maximum cliquequadratic optimization problemBoolean linear programming problemLagrangian dual boundmaximum \(k\)-plexsuperfluous constraint


Mathematics Subject Classification ID

Programming involving graphs or networks (90C35) Quadratic programming (90C20)



Uses Software

  • Octave
  • GLPK


Cites Work

  • Combinatorial algorithms for the maximum \(k\)-plex problem
  • Functionally redundant constraints for Boolean quadratic-type optimization problems
  • Nondifferentiable optimization and polynomial problems
  • On the maximum quasi-clique problem
  • New quadratic models for the maximum weighted cut problem
  • A More Relaxed Model for Graph-Based Data Clustering: s-Plex Cluster Editing
  • Clique Relaxations in Social Network Analysis: The Maximum k-Plex Problem
  • A graph‐theoretic generalization of the clique concept


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