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 …

On clique relaxation models in network analysis

J Pattillo, N Youssef, S Butenko - European Journal of Operational …, 2013 - Elsevier
Increasing interest in studying community structures, or clusters in complex networks arising
in various applications has led to a large and diverse body of literature introducing …

[HTML][HTML] On the maximum quasi-clique problem

J Pattillo, A Veremyev, S Butenko, V Boginski - Discrete Applied …, 2013 - Elsevier
Given a simple undirected graph G=(V, E) and a constant γ∈(0, 1), a subset of vertices is
called a γ-quasi-clique or, simply, a γ-clique if it induces a subgraph with the edge density of …

Motif prediction with graph neural networks

M Besta, R Grob, C Miglioli, N Bernold… - Proceedings of the 28th …, 2022 - dl.acm.org
Link prediction is one of the central problems in graph mining. However, recent studies
highlight the importance of higher-order network analysis, where complex structures called …

Clique relaxation models in social network analysis

J Pattillo, N Youssef, S Butenko - Handbook of Optimization in Complex …, 2011 - Springer
Clique relaxation models that were originally introduced in the literature on social network
analysis are not only gaining increasing popularity in a wide spectrum of complex network …

Maximal directed quasi-clique mining

G Guo, D Yan, L Yuan, J Khalil, C Long… - 2022 IEEE 38th …, 2022 - ieeexplore.ieee.org
Quasi-cliques are a type of dense subgraphs that generalize the notion of cliques, important
for applications such as community/module detection in various social and biological …

Exact MIP-based approaches for finding maximum quasi-cliques and dense subgraphs

A Veremyev, OA Prokopyev, S Butenko… - Computational …, 2016 - Springer
Given a simple graph and a constant γ ∈ (0, 1 γ∈(0, 1, a γ γ-quasi-clique is defined as a
subset of vertices that induces a subgraph with an edge density of at least γ γ. This well …

Mining largest maximal quasi-cliques

SV Sanei-Mehri, A Das, H Hashemi… - ACM Transactions on …, 2021 - dl.acm.org
Quasi-cliques are dense incomplete subgraphs of a graph that generalize the notion of
cliques. Enumerating quasi-cliques from a graph is a robust way to detect densely …

Parallel mining of large maximal quasi-cliques

J Khalil, D Yan, G Guo, L Yuan - The VLDB Journal, 2022 - Springer
Given a user-specified minimum degree threshold γ γ, a γ γ-quasi-clique is a subgraph
where each vertex connects to at least γ γ fraction of the other vertices. Quasi-clique is a …

Enumerating top-k quasi-cliques

SV Sanei-Mehri, A Das… - 2018 IEEE international …, 2018 - ieeexplore.ieee.org
Quasi-cliques are dense incomplete subgraphs of a graph that generalize the notion of
cliques. Enumerating quasi-cliques from a graph is a robust way to detect densely …