A general lower bound for the domination number of cylindrical graphs

Fuente: arXiv
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Main Authors: Carreño, José Juan, Martínez, José Antonio, Puertas, María Luz
Format: Preprint
Published: 2018
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author Carreño, José Juan
Martínez, José Antonio
Puertas, María Luz
author_facet Carreño, José Juan
Martínez, José Antonio
Puertas, María Luz
contents In this paper we present a lower bound for the domination number of the Cartesian product of a path and a cycle, that is tight if the length of the cycle is a multiple of five. This bound improves the natural lower bound obtained by using the domination number of the Cartesian product of two paths, that is the best one known so far.
format Preprint
id arxiv_https___arxiv_org_abs_1811_01639
institution arXiv
publishDate 2018
record_format arxiv
spellingShingle A general lower bound for the domination number of cylindrical graphs
Carreño, José Juan
Martínez, José Antonio
Puertas, María Luz
Combinatorics
05C38, 05C76, 05C85
In this paper we present a lower bound for the domination number of the Cartesian product of a path and a cycle, that is tight if the length of the cycle is a multiple of five. This bound improves the natural lower bound obtained by using the domination number of the Cartesian product of two paths, that is the best one known so far.
title A general lower bound for the domination number of cylindrical graphs
topic Combinatorics
05C38, 05C76, 05C85
url https://arxiv.org/abs/1811.01639