Skip to Main content Skip to Navigation
Theses

Optimization Algorithms for Clique Problems

Abstract : This thesis considers four clique problems: the maximum vertex weight clique problem (MVWCP), the maximum s-plex problem (MsPlex), the maximum balanced biclique problem (MBBP) and the clique partitioning problem (CPP). The first three are generalization and relaxation of the classic maximum clique problem (MCP), while the last problem belongs to a clique grouping problem. These combinatorial problems have numerous practical applications. Given that they all belong to the NP-Hard family, it is computationally difficult to solve them in the general case. For this reason, this thesis is devoted to develop effective algorithms to tackle these challenging problems. Specifically, we propose two restart tabu search algorithms based on a generalized PUSH operator for MVWCP, a frequency driven local search algorithms for MsPlex, a graph reduction based tabu search as well as effective exact branch and bound algorithms for MBBP and lastly, a three phase local search algorithm for CPP. In addition to the design of efficient move operators for local search algorithms, we also integrate components like graph reduction or upper bound propagation in order to deal deal with very large real-life networks. The experimental tests on a wide range of instances show that our algorithms compete favorably with the main state-of-the-art algorithms.
Document type :
Theses
Complete list of metadatas

Cited literature [66 references]  Display  Hide  Download

https://tel.archives-ouvertes.fr/tel-01707043
Contributor : Abes Star :  Contact
Submitted on : Monday, February 12, 2018 - 2:48:07 PM
Last modification on : Monday, June 1, 2020 - 4:54:02 PM
Long-term archiving on: : Monday, May 7, 2018 - 2:37:32 PM

File

ZHOU.pdf
Version validated by the jury (STAR)

Identifiers

  • HAL Id : tel-01707043, version 1

Citation

Yi Zhou. Optimization Algorithms for Clique Problems. Optimization and Control [math.OC]. Université d'Angers, 2017. English. ⟨NNT : 2017ANGE0013⟩. ⟨tel-01707043⟩

Share

Metrics

Record views

384

Files downloads

1906