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Updated: Sep 7, 2025

Construction and Systematical Symmetric Studies of a Series of Supramolecular Clusters with Binary or Ternary Ammonium Triphenylacetates
Published on: February 15, 2016
k-domination and total k-domination numbers in catacondensed hexagonal systems
Sergio Bermudo1, Robinson A Higuita2, Juan Rada2
1Department of Economics, Quantitative Methods and Economic History, Pablo de Olavide University. Carretera de Utrera Km.1, 41013-Sevilla, Spain.
Abstract:
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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