Benders decomposition, branch-and-cut, and hybrid algorithms for the minimum connected dominating set problem

B Gendron, A Lucena, AS da Cunha… - INFORMS Journal on …, 2014 - pubsonline.informs.org
We present exact algorithms for solving the minimum connected dominating set problem in
an undirected graph. The algorithms are based on two approaches: a Benders …

Solving the connected dominating set problem and power dominating set problem by integer programming

N Fan, JP Watson - … : 6th International Conference, COCOA 2012, Banff …, 2012 - Springer
In this paper, we propose several integer programming approaches with a polynomial
number of constraints to formulate and solve the minimum connected dominating set …

Identification of key player genes in gene regulatory networks

M Nazarieh, A Wiese, T Will, M Hamed, V Helms - BMC Systems Biology, 2016 - Springer
Background Identifying the gene regulatory networks governing the workings and identity of
cells is one of the main challenges in understanding processes such as cellular …

An integer programming approach for fault-tolerant connected dominating sets

A Buchanan, JS Sung, S Butenko… - INFORMS Journal on …, 2015 - pubsonline.informs.org
This paper considers the minimum k-connected d-dominating set problem, which is a fault-
tolerant generalization of the minimum connected dominating set (MCDS) problem. Three …

Input node placement restricting the longest control chain in controllability of complex networks

S Alizadeh, M Pósfai, A Ghasemi - Scientific Reports, 2023 - nature.com
The minimum number of inputs needed to control a network is frequently used to quantify its
controllability. Control of linear dynamics through a minimum set of inputs, however, often …

Multi-start local search algorithm for the minimum connected dominating set problems

R Li, S Hu, H Liu, R Li, D Ouyang, M Yin - Mathematics, 2019 - mdpi.com
The minimum connected dominating set (MCDS) problem is a very significant NP-hard
combinatorial optimization problem, and it has been used in many fields such as wireless …

Efficient local search based on dynamic connectivity maintenance for minimum connected dominating set

X Zhang, B Li, S Cai, Y Wang - Journal of Artificial Intelligence Research, 2021 - jair.org
The minimum connected dominating set (MCDS) problem is an important extension of the
minimum dominating set problem, with wide applications, especially in wireless networks …

Integer linear programming models for the weighted total domination problem

Y Ma, Q Cai, S Yao - Applied Mathematics and Computation, 2019 - Elsevier
A total dominating set of a graph G=(V, E) is a subset D of V such that every vertex in V
(including the vertices from D) has at least one neighbour in D. Suppose that every vertex …

On combinatorial optimization for dominating sets (literature survey, new models)

MS Levin - arXiv preprint arXiv:2009.09288, 2020 - arxiv.org
The paper focuses on some versions of connected dominating set problems: basic problems
and multicriteria problems. A literature survey on basic problem formulations and solving …

[PDF][PDF] Nucds: An efficient local search algorithm for minimum connected dominating set

B Li, X Zhang, S Cai, J Lin, Y Wang, C Blum - Proceedings of the Twenty …, 2021 - ijcai.org
The minimum connected dominating set (MCDS) problem is an important extension of the
minimum dominating set problem, with wide applications, especially in wireless networks …