A review on algorithms for maximum clique problems

Q Wu, JK Hao - European Journal of Operational Research, 2015 - Elsevier
The maximum clique problem (MCP) is to determine in a graph a clique (ie, a complete
subgraph) of maximum cardinality. The MCP is notable for its capability of modeling other …

Two efficient local search algorithms for maximum weight clique problem

Y Wang, S Cai, M Yin - Proceedings of the AAAI Conference on Artificial …, 2016 - ojs.aaai.org
Abstract The Maximum Weight Clique problem (MWCP) is an important generalization of the
Maximum Clique problem with wide applications. This paper introduces two heuristics and …

[HTML][HTML] SCCWalk: An efficient local search algorithm and its improvements for maximum weight clique problem

Y Wang, S Cai, J Chen, M Yin - Artificial Intelligence, 2020 - Elsevier
The maximum weight clique problem (MWCP) is an important generalization of the
maximum clique problem with wide applications. In this study, we develop two efficient local …

Breakout local search for maximum clique problems

U Benlic, JK Hao - Computers & Operations Research, 2013 - Elsevier
The maximum clique problem (MCP) is one of the most popular combinatorial optimization
problems with various practical applications. An important generalization of MCP is the …

[PDF][PDF] Fast Solving Maximum Weight Clique Problem in Massive Graphs.

S Cai, J Lin - IJCAI, 2016 - dcs.gla.ac.uk
This paper explores techniques for fast solving the maximum weight clique problem (MWCP)
in very large scale real-world graphs. Because of the size of such graphs and the …

Simple ingredients leading to very efficient heuristics for the maximum clique problem

A Grosso, M Locatelli, W Pullan - Journal of Heuristics, 2008 - Springer
Starting from an algorithm recently proposed by Pullan and Hoos, we formulate and analyze
iterated local search algorithms for the maximum clique problem. The basic components of …

An adaptive multistart tabu search approach to solve the maximum clique problem

Q Wu, JK Hao - Journal of Combinatorial Optimization, 2013 - Springer
Given an undirected graph G=(V, E) with vertex set V={1,…, n} and edge set E⊆ V× V. The
maximum clique problem is to determine in G a clique (ie, a complete subgraph) of …

Maximum clique algorithm and its approximation for uniform test form assembly

T Ishii, P Songmuang, M Ueno - IEEE Transactions on Learning …, 2014 - ieeexplore.ieee.org
Educational assessments occasionally require uniform test forms for which each test form
comprises a different set of items, but the forms meet equivalent test specifications (ie …

Improvements to MCS algorithm for the maximum clique problem

M Batsyn, B Goldengorin, E Maslov… - Journal of Combinatorial …, 2014 - Springer
In this paper we present improvements to one of the most recent and fastest branch-and-
bound algorithm for the maximum clique problem—MCS algorithm by Tomita et …

Speeding up branch and bound algorithms for solving the maximum clique problem

E Maslov, M Batsyn, PM Pardalos - Journal of Global Optimization, 2014 - Springer
In this paper we consider two branch and bound algorithms for the maximum clique problem
which demonstrate the best performance on DIMACS instances among the existing …