A literature review on correlation clustering: cross-disciplinary taxonomy with bibliometric analysis

DF Wahid, E Hassini - Operations Research Forum, 2022‏ - Springer
The correlation clustering problem identifies clusters in a set of objects when the qualitative
information about objects' mutual similarities or dissimilarities is given in a signed network …

Balance and frustration in signed networks

S Aref, MC Wilson - Journal of Complex Networks, 2019‏ - academic.oup.com
The frustration index is a key measure for analysing signed networks, which has been
underused due to its computational complexity. We use an exact optimization-based method …

Identifying hidden coalitions in the US House of Representatives by optimally partitioning signed networks based on generalized balance

S Aref, ZP Neal - Scientific reports, 2021‏ - nature.com
In network science, identifying optimal partitions of a signed network into internally cohesive
and mutually divisive clusters based on generalized balance theory is computationally …

Evaluating balancing on social networks through the efficient solution of correlation clustering problems

M Levorato, R Figueiredo, Y Frota… - EURO Journal on …, 2017‏ - Elsevier
One challenge for social network researchers is to evaluate balance in a social network. The
degree of balance in a social group can be used as a tool to study whether and how this …

A modeling and computational study of the frustration index in signed networks

S Aref, AJ Mason, MC Wilson - Networks, 2020‏ - Wiley Online Library
Computing the frustration index of a signed graph is a key step toward solving problems in
many fields including social networks, political science, physics, chemistry, and biology. The …

Integer programming formulations and efficient local search for relaxed correlation clustering

E Queiroga, A Subramanian, R Figueiredo… - Journal of Global …, 2021‏ - Springer
Relaxed correlation clustering (RCC) is a vertex partitioning problem that aims at minimizing
the so-called relaxed imbalance in signed graphs. RCC is considered to be an NP-hard …

[PDF][PDF] An exact method for computing the frustration index in signed networks using binary programming

S Aref, AJ Mason, MC Wilson - arxiv preprint arxiv:1611.09030, 2016‏ - cs.auckland.ac.nz
Computing the frustration index of a signed graph is a key to solving problems in different
fields of research including social networks, physics, material science, and biology. In social …

Comparison of two heuristic algorithms for correlation clustering problem solving

E Ibragimova, D Semenova… - 2023 5th International …, 2023‏ - ieeexplore.ieee.org
This paper compares two heuristic algorithms for solving the correlation clustering problem
(CCP). CCP is solved for undirected and unweighted simple signed graphs, where error …

Relevance of negative links in graph partitioning: A case study using votes from the european parliament

I Mendonça, R Figueiredo, V Labatut… - 2015 Second …, 2015‏ - ieeexplore.ieee.org
In this paper, we want to study the informative value of negative links in signed complex
networks. For this purpose, we extract and analyze a collection of signed networks …

Signed network structural analysis and applications with a focus on balance theory

S Aref - arxiv preprint arxiv:1901.06845, 2019‏ - arxiv.org
We analyse signed networks from the perspective of balance theory which predicts structural
balance as a global structure for signed social networks that represent groups of friends and …