k-domination and total k-domination numbers in catacondensed hexagonal systems
In this paper we study the k-domination and total k-domination numbers of catacondensed hexagonal systems. More precisely, we give the value of the total domination number, we find upper and lower bounds for the 2-domination number and the total 2-domination number, characterizing the catacondensed...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
AIMS Press
2022-05-01
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Series: | Mathematical Biosciences and Engineering |
Subjects: | |
Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2022337?viewType=HTML |
Summary: | In this paper we study the k-domination and total k-domination numbers of catacondensed hexagonal systems. More precisely, we give the value of the total domination number, we find upper and lower bounds for the 2-domination number and the total 2-domination number, characterizing the catacondensed hexagonal systems which attain these bounds, and we give the value of the 3-domination number for any catacondensed hexagonal system with a given number of hexagons. These results complete the study of k-domination and total k-domination of catacondensed hexagonal systems for all possible values of k. |
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ISSN: | 1551-0018 |