Exact solution algorithms for the maximum flow problem with additional conflict constraints

Z Şuvak, İK Altınel, N Aras - European Journal of Operational Research, 2020 - Elsevier
We consider a variant of the maximum flow problem on a given directed graph where some
arc pairs are incompatible or conflicting; in other words, they are not allowed to carry positive …

Integer programming formulations and benders decomposition for the maximum induced matching problem

B Ahat, T Ekim, ZC Taşkın - INFORMS Journal on Computing, 2018 - pubsonline.informs.org
We investigate the maximum induced matching problem (MIM), which is the problem of
finding an induced matching having the largest cardinality on an undirected graph. The …

Minimum cost b-matching problems with neighborhoods

I Espejo, R Páez, J Puerto… - Computational …, 2022 - Springer
In this paper, we deal with minimum cost b-matching problems on graphs where the nodes
are assumed to belong to non-necessarily convex regions called neighborhoods, and the …

A note on the NP-hardness of two matching problems in induced subgrids

M Demange, T Ekim - Discrete Mathematics & Theoretical …, 2013 - dmtcs.episciences.org
A note on the NP-hardness of two matching problems in induced subgrids Page 1 Discrete
Mathematics and Theoretical Computer Science DMTCS vol. 15:2, 2013, 233–242 A note on …

Modelling and solving the perfect edge domination problem

VL do Forte, MC Lin, A Lucena, N Maculan… - Optimization …, 2020 - Springer
A formulation is proposed for the perfect edge domination problem and some exact
algorithms based on it are designed and tested. So far, perfect edge domination has been …

Maximal matching polytope in trees

MK Tural - Optimization Methods and Software, 2016 - Taylor & Francis
Given a weighted simple graph, the minimum weighted maximal matching (MWMM) problem
is the problem of finding a maximal matching of minimum weight. The MWMM problem is NP …

Minimum cost b-matching problems with neighborhoods

I Espejo Miranda, R Páez Jiménez, J Puerto… - 2022 - rodin.uca.es
In this paper, we deal with minimum cost b-matching problems on graphs where the nodes
are assumed to belong to non-necessarily convex regions called neighborhoods, and the …

[PDF][PDF] Integer Programming Models to Solve Matching Problems

G Karakose - ICAMƩ'24, 2024 - researchgate.net
Matching problems have applications in many areas, changing from social networks to
communication networks, making them a subject of keen interest for researchers across …

Network flows with conflict constraints

Z Şuvak - 2019 - 193.140.201.98
Many systems or structures encountered in daily life can be represented as networks of
interconnecting objects. Power networks to distribute electricity, telecommunication/internet …

[PDF][PDF] Valid Inequalities for the Maximal Matching Polytope

MK Tural - Adıyaman University Journal of Science, 2013 - dergipark.org.tr
Given a graph G=(V, E), a subset M of E is called a matching if no two edges in M are
adjacent. A matching is said to be maximal if it is not a proper subset of any other matching …