Multiple partitioning of multiplex signed networks: Application to European parliament votes

N Arinik, R Figueiredo, V Labatut - Social Networks, 2020 - Elsevier
For more than a decade, graphs have been used to model the voting behavior taking place
in parliaments. However, the methods described in the literature suffer from several …

Mixed integer programming formulations for clustering problems related to structural balance

R Figueiredo, G Moura - Social Networks, 2013 - Elsevier
In this work, we study graph clustering problems associated with structural balance. One of
these problems is known in computer science literature as the correlation-clustering (CC) …

The maximum balanced subgraph of a signed graph: Applications and solution approaches

R Figueiredo, Y Frota - European Journal of Operational Research, 2014 - Elsevier
Abstract The Maximum Balanced Subgraph Problem (MBSP) is the problem of finding a
subgraph of a signed graph that is balanced and maximizes the cardinality of its vertex set …

Multiplicity and diversity: analysing the optimal solution space of the correlation clustering problem on complete signed graphs

N Arınık, R Figueiredo, V Labatut - Journal of Complex Networks, 2020 - academic.oup.com
In order to study real-world systems, many applied works model them through signed
graphs, that is, graphs whose edges are labelled as either positive or negative. Such a …

Capacitated network design: Multi-commodity flow formulations, cutting planes, and demand uncertainty

C Raack - … Research Proceedings 2013: Selected Papers of the …, 2014 - Springer
This article provides an overview about the main results and findings developed in the
dissertation of the author [8]. In this thesis, we develop methods in mathematical optimization …

A branch-and-cut algorithm for the maximum k-balanced subgraph of a signed graph

R Figueiredo, Y Frota, M Labbé - Discrete Applied Mathematics, 2019 - Elsevier
We are interested in the solution of the maximum k-balanced subgraph problem. Let G=(V,
E, s) be a signed graph and ka positive scalar. A signed graph is k-balanced if V can be …

A heuristic based on negative chordless cycles for the maximum balanced induced subgraph problem

F Marinelli, A Parente - Computers & Operations Research, 2016 - Elsevier
A signed graph, ie, an undirected graph whose edges have labels in {− 1,+ 1}, is balanced if
it has no negative cycles. Given a signed graph, we are interested in a balanced induced …

An improved Branch-and-cut code for the maximum balanced subgraph of a signed graph

R Figueiredo, Y Frota - arxiv preprint arxiv:1312.4345, 2013 - arxiv.org
The Maximum Balanced Subgraph Problem (MBSP) is the problem of finding a subgraph of
a signed graph that is balanced and maximizes the cardinality of its vertex set. We are …

Correlation clustering problem under mediation

Z Ales, C Engelbeen… - INFORMS Journal on …, 2024 - pubsonline.informs.org
In the context of community detection, correlation clustering (CC) provides a measure of
balance for social networks as well as a tool to explore their structures. However, CC does …