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Some Properties of Double Roman Domination
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-08-14
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
A double Roman dominating function on a graph G is a function f:VG⟶0,1,2,3 satisfying the conditions that every vertex u for which fu=0 is adjacent to at least one vertex v for which fv=3 or two vertices v1 and v2 for which fv1=fv2=2 and every vertex u for which fu=1 is adjacent to at least one vertex v for which fv≥2.
The weight of a double Roman dominating function f is the value fV=∑u∈Vfu.
The minimum weight of a double Roman dominating function on a graph G is called the double Roman domination numberγdRG of G.
A graph with γdRG=3γG is called a double Roman graph.
In this paper, we study properties of double Roman domination in graphs.
Moreover, we find a class of double Roman graphs and give characterizations of trees with γdRT=γRT+k for k=1,2.
American Psychological Association (APA)
Yang, Hong& Zhou, Xiaoqing. 2020. Some Properties of Double Roman Domination. Discrete Dynamics in Nature and Society،Vol. 2020, no. 2020, pp.1-5.
https://search.emarefa.net/detail/BIM-1153290
Modern Language Association (MLA)
Yang, Hong& Zhou, Xiaoqing. Some Properties of Double Roman Domination. Discrete Dynamics in Nature and Society No. 2020 (2020), pp.1-5.
https://search.emarefa.net/detail/BIM-1153290
American Medical Association (AMA)
Yang, Hong& Zhou, Xiaoqing. Some Properties of Double Roman Domination. Discrete Dynamics in Nature and Society. 2020. Vol. 2020, no. 2020, pp.1-5.
https://search.emarefa.net/detail/BIM-1153290
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1153290