Results 11 to 20 of about 85,878 (263)

Double Roman domination

open access: yesDiscrete Applied Mathematics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Beeler, Robert A.   +2 more
openaire   +4 more sources

Signed double Roman domination in graphs

open access: yesDiscrete Applied Mathematics, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hossein Abdollahzadeh Ahangar   +2 more
openaire   +5 more sources

Maximal double Roman domination in graphs

open access: yesApplied Mathematics and Computation, 2022
A maximal double Roman dominating function (MDRDF) on a graph $G=(V,E)$ is a function $f:V(G)\rightarrow \{0,1,2,3\}$ such that \textrm{(i) }every vertex $v$ with $f(v)=0$ is adjacent to least two vertices { assigned $2$ or to at least one vertex assigned $3,$} \textrm{(ii) }every vertex $v$ with $f(v)=1$ is adjacent to at least one { vertex assigned ...
Abdollahzadeh Ahangar, H.   +3 more
openaire   +4 more sources

Discharging Approach for Double Roman Domination in Graphs

open access: yesIEEE Access, 2018
The discharging method is most well-known for its central role in the proof of the Four Color Theorem. This proof technique was extensively applied to study various graph coloring problems, in particular on planar graphs.
Zehui Shao   +5 more
doaj   +3 more sources

Perfect double Roman domination of trees

open access: yesDiscrete Applied Mathematics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Egunjobi, Ayotunde T., Haynes, Teresa W.
openaire   +5 more sources

The Double Roman Domination Numbers of Generalized Petersen Graphs P(n, 2)

open access: yesMathematics, 2018
A double Roman dominating function (DRDF) f on a given graph G is a mapping from V ( G ) to { 0 , 1 , 2 , 3 } in such a way that a vertex u for which f ( u ) = 0 has at least a neighbor labeled 3 or two neighbors both labeled 2 ...
Huiqin Jiang   +4 more
doaj   +3 more sources

On the double Roman domination in graphs

open access: yesDiscrete Applied Mathematics, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abdollahzadeh Ahangar, Hossein   +2 more
openaire   +4 more sources

Calculating Modern Roman Domination of Fan Graph and Double Fan Graph [PDF]

open access: yesJournal of Applied Sciences and Nanotechnology, 2022
This paper is concerned with the concept of modern Roman domination in graphs. A Modern Roman dominating function on a graph is labeling such that every vertex with label 0 is adjacent to two vertices; one of them of label 2 and the other of label 3 and ...
Saba Salah, Ahmed Omran, Manal Al-Harere
doaj   +1 more source

Bounds on the Double Italian Domination Number of a Graph

open access: yesDiscussiones Mathematicae Graph Theory, 2022
For a graph G, a Roman {3}-dominating function is a function f : V → {0, 1, 2, 3} having the property that for every vertex u ∈ V, if f(u) ∈ {0, 1}, then f(N[u]) ≥ 3.
Azvin Farzaneh, Rad Nader Jafari
doaj   +1 more source

On the D-differential of a graph

open access: yesAKCE International Journal of Graphs and Combinatorics, 2022
Let [Formula: see text] be a graph of order n(G). For a subset S of V(G), the boundary of S is defined as [Formula: see text] where N(S) is the open neighborhood of S.
Kijung Kim
doaj   +1 more source

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