The Maximum Edge Weight Clique Problem: Formulations and Solution Approaches Chapter uri icon

abstract

  • © Springer International Publishing AG 2017. Given an edge-weighted graph, the maximum edge weight clique (MEWC) problem is to find a clique that maximizes the sum of edge weights within the corresponding complete subgraph. This problem generalizes the classical maximum clique problem and finds many real-world applications in molecular biology, broadband network design, pattern recognition and robotics, information retrieval, marketing, and bioinformatics among other areas. The main goal of this chapter is to provide an up-to-date review of mathematical optimization formulations and solution approaches for the MEWC problem. Information on standard benchmark instances and state-of-the-art computational results is also included.

author list (cited authors)

  • Hosseinian, S., Fontes, D., Butenko, S., Nardelli, M. B., Fornari, M., & Curtarolo, S.

citation count

  • 5

Book Title

  • Optimization Methods and Applications

publication date

  • December 2017