A Vertex Degree-Based GRASP Approach for the Minimum Independent Dominating Set Problem

André Alessi, Dalcimar Casanova, Lucas Caldeira de Oliveira, Marco Antonio de Castro Barbosa, Marcelo Teixeira, Ives Pola, Fernanda Pola

2022

Abstract

The Minimum Independent Dominating Set (MIDS) problem is a classical graph theory problem, with applications in sensors networks and database management systems. As a NP-hard problem, there is no exact solution that can be processed in polynomial time, unless P =NP. Some metaheuristic approaches have been proposed to tackle the problem in polynomial time. In this paper, we develop our own metaheuristic approach called GRASP+VD, a GRASP that uses vertex degree as its greedy function. We show that GRASP+VD outperforms the state-of-the-art approach drMIDS in all BHOSLIB dataset and in most of the DIMACS dataset.

Paper Citation

in Harvard Style

Alessi A., Casanova D., Caldeira de Oliveira L., Antonio de Castro Barbosa M., Teixeira M., Pola I. and Pola F. (2022). A Vertex Degree-Based GRASP Approach for the Minimum Independent Dominating Set Problem. In Proceedings of the 3rd International Symposium on Automation, Information and Computing - Volume 1: ISAIC; ISBN 978-989-758-622-4, SciTePress, pages 318-323. DOI: 10.5220/0011924000003612

in Bibtex Style

@conference{isaic22,
author={André Alessi and Dalcimar Casanova and Lucas Caldeira de Oliveira and Marco Antonio de Castro Barbosa and Marcelo Teixeira and Ives Pola and Fernanda Pola},
title={A Vertex Degree-Based GRASP Approach for the Minimum Independent Dominating Set Problem},
booktitle={Proceedings of the 3rd International Symposium on Automation, Information and Computing - Volume 1: ISAIC},
year={2022},
pages={318-323},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0011924000003612},
isbn={978-989-758-622-4},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 3rd International Symposium on Automation, Information and Computing - Volume 1: ISAIC
TI - A Vertex Degree-Based GRASP Approach for the Minimum Independent Dominating Set Problem
SN - 978-989-758-622-4
AU - Alessi A.
AU - Casanova D.
AU - Caldeira de Oliveira L.
AU - Antonio de Castro Barbosa M.
AU - Teixeira M.
AU - Pola I.
AU - Pola F.
PY - 2022
SP - 318
EP - 323
DO - 10.5220/0011924000003612
PB - SciTePress