Extended formulation and branch-and-cut-and-price algorithm for the two connected subgraph problem with disjunctive constraints

F Almathkour, I Diarrassouba, Y Hadhbi - Annals of Operations Research, 2024 - Springer
A graph is said to be two connected if between every pair of nodes there are at least two
node-disjoint paths. Given weights on the edges of the graph, the two connected subgraph …

Two-edge connectivity with disjunctive constraints: Polyhedral analysis and Branch-and-Cut

I Almudahka, I Diarrassouba, AR Mahjoub… - Computers & Industrial …, 2023 - Elsevier
In this paper we consider the two-edge-connected subgraph problem with disjunctive
constraints. We investigate the convex hull of the solutions to this problem. We describe …

A branch-and-cut algorithm for two-level survivable network design problems

I Rodríguez-Martín, JJ Salazar-González… - Computers & Operations …, 2016 - Elsevier
This paper approaches the problem of designing a two-level network protected against
single-edge failures. The problem simultaneously decides on the partition of the set of nodes …

A Branch-and-Cut algorithm for the multiple Steiner TSP with order constraints

R Taktak - Annals of Operations Research, 2024 - Springer
This paper deals with a variant of the traveling salesman problem (TSP), called the multiple
Steiner TSP with order constraints. This consists, given an undirected graph with …

Design of survivable networks with low connectivity requirements

F Almathkour, Y Magnouche… - International …, 2025 - Wiley Online Library
In this paper, we consider the survivable network design problem when the connectivity
types are in {0, 1, 2, 3}. The problem has wide applications in telecommunication networks …

The ring/κ‐rings network design problem: Model and branch‐and‐cut algorithm

I Rodríguez‐Martín, JJ Salazar‐González, H Yaman - Networks, 2016 - Wiley Online Library
This article considers the problem of designing a two‐level network where the upper level
consists of a backbone ring network connecting the so‐called hub nodes, and the lower …

Survivability in hierarchical telecommunications networks under dual homing

OYAE Karaşan, AR Mahjoub… - INFORMS Journal …, 2014 - pubsonline.informs.org
The motivation behind this study is the essential need for survivability in the
telecommunications networks. An optical signal should find its destination even if the …

Two-edge-connected (not necessarily spanning) subgraphs and polyhedra

J Bruckamp, M Chimani, M Juhnke - arXiv preprint arXiv:2410.18564, 2024 - arxiv.org
Given a graph $ G $, we study the $2 $-edge-connected subgraph polytope $\mathrm
{TECSP}(G) $, which is given by the convex hull of the incidence vectors of all $2 $-edge …

Survavibility in Multilayer Networks: models and Polyhedra

R Taktak - 2013 - theses.hal.science
This thesis deals with a problem related to survivability issues in multilayer IP-over-WDM
networks. Given a set of traffic demands for which we know a survivable logical routing in the …

The Labeled Two Edge Connected Subgraph Problem

MB Salem, R Taktak - 2022 8th International Conference on …, 2022 - ieeexplore.ieee.org
In this paper, we address a variant of the Two Edge Connected Problem (TECP), that is the
TECP with color constraint on the edges, also known as the Labeled Two Edge Connected …