Results 151 to 160 of about 184 (171)

Twin signed double Roman domination numbers in directed graphs

Discrete Mathematics, Algorithms and Applications, 2022
Let [Formula: see text] be a finite simple directed graph (shortly digraph). A function [Formula: see text] is called a twin signed double Roman dominating function (TSDRDF) if (i) every vertex [Formula: see text] with [Formula: see text] has at least two in-neighbor assigned a 2 or at least an in-neighbor [Formula: see text] with [Formula: see text],
Akram Mahmoodi, Maryam Atapour, Sattar Aliyar   +2 more
openaire   +2 more sources

Signed total double Roman k-domination in graphs

Discrete Mathematics, Algorithms and Applications, 2019
A signed total double Roman [Formula: see text]-dominating function (STDRkDF) on an isolated-free graph [Formula: see text] is a function [Formula: see text] such that (i) every vertex [Formula: see text] with [Formula: see text] has at least two neighbors assigned 2 under [Formula: see text] or at least one neighbor [Formula: see text] with [Formula:
L. Shahbazi, Hossein Abdollahzadeh Ahangar, R. Khoeilar, Seyed Mahmoud Sheikholeslami   +3 more
openaire   +1 more source

Signed double Roman \(k\)-domination in graphs [PDF]

Australas. J Comb., 2018
Summary: Let \(G=(V,E)\) be a simple and finite graph with vertex set \(V(G)\), and let \(k\geq 1\) be an integer. A signed double Roman \(k\)-dominating function (SDR\(k\)DF) on a graph \(G\) is a function \(f:V(G)\rightarrow \{-1,1,2,3\}\) such that (i) every vertex \(v\) with \(f(v)=-1\) is adjacent to at least two vertices assigned with 2 or to at ...
Jafar Amjadi, Hong Yang, Sakineh Nazari-Moghaddam, Seyed Mahmoud Sheikholeslami, Zehui Shao   +4 more
openaire   +1 more source

Double Roman Domination: A Survey

Mathematics, 2023
Janez Žerovnik, Darja Rupnik Poklukar, Žerovnik Janez   +2 more
exaly  

On the signed Roman k-domination in graphs

Quaestiones Mathematicae, 2020
Lutz Volkmann, J Amjadi, S M Sheikholeslami   +2 more
exaly  

Lower Bounds on Signed Total Double Roman k-domination in Graphs

Journal of Mathematical Sciences and Informatics
Laila Shahbazi, Hossein Abdollahzadeh Ahangar, Rana Khoeilar, Seyed Mahmoud Sheikholeslami   +3 more
openaire   +1 more source

Double Roman Domination in Digraphs

Bulletin of the Malaysian Mathematical Sciences Society, 2017
Guoliang Hao, Lutz Volkmann, Chen Xiaodan   +2 more
exaly  

Independent Signed Double Roman Domination

Advances in Applied Mathematics
openaire   +1 more source

Signed total Roman domination in graphs

Journal of Combinatorial Optimization, 2015
Lutz Volkmann, Volkmann Lutz
exaly  

On the signed Roman k-domination: Complexity and thin torus graphs

Discrete Applied Mathematics, 2017
Sandi Klavžar, Zehui Shao, Pu Wu
exaly