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Quasi total double Roman domination in trees

2023
Summary: A quasi total double Roman dominating function (QTDRD-function) on a graph \(G=(V(G)\), \(E(G))\) is a function \(f:V(G)\longrightarrow \{0,1,2,3\}\) having the property that (i) if \(f(v)=0\), then vertex \(v\) must have at least two neighbors assigned 2 under \(f\) or one neighbor \(w\) with \(f(w)=3\); (ii) if \(f(v)=1\), then vertex \(v ...
Akhoundi, Maryam, Khan, Aysha, Shafi, Jana, Volkmann, Lutz   +3 more
openaire   +1 more source

Bounds on the quasi-total double Roman domination number in graphs

Discrete Mathematics, Algorithms and Applications
A quasi-total double Roman dominating function (QTDRD-function) on a graph [Formula: see text] is a function [Formula: see text] having the property that (i) if [Formula: see text], then vertex [Formula: see text] must have at least two neighbors assigned 2 under [Formula: see text] or one neighbor [Formula: see text] with [Formula: see text]; (ii) if [
J. Amjadi, S. Babaei, S. M. Sheikholeslami, M. Chellali, S. Kosari   +4 more
openaire   +1 more source