Extremal Graphs for a Bound on the Roman Domination Number
A Roman dominating function on a graph G = (V, E) is a function f:V (G) → {0, 1, 2} such that every vertex u for which f(u) = 0 is adjacent to at least one vertex v with f(v) = 2. The weight of a Roman dominating function is the value w(f) = Σu∈V(G)f(u). The minimum weight of a Roman dominating func...
Main Authors: | Bouchou Ahmed, Blidia Mostafa, Chellali Mustapha |
---|---|
Format: | Article |
Language: | English |
Published: |
University of Zielona Góra
2020-08-01
|
Series: | Discussiones Mathematicae Graph Theory |
Subjects: | |
Online Access: | https://doi.org/10.7151/dmgt.2142 |
Similar Items
-
A Note on Roman Domination of Digraphs
by: Chen Xiaodan, et al.
Published: (2019-02-01) -
On [k] -Roman domination in graphs
by: N. Khalili, et al.
Published: (2023-09-01) -
On [k]-Roman domination subdivision number of graphs
by: K. Haghparast, et al.
Published: (2022-09-01) -
Bounds on the Locating Roman Domination Number in Trees
by: Jafari Rad Nader, et al.
Published: (2018-02-01) -
Total Roman {2}-Dominating Functions in Graphs
by: Ahangar H. Abdollahzadeh, et al.
Published: (2022-08-01)