Modern roman domination in graphs

Other Title(s)

الهيمنة الرومانية الحديثة في البيانات

Joint Authors

Umran, Ahmad Abd Ali
al-Huwayr, Hasan Jayad Sawadi

Source

Basrah Journal of Science

Issue

Vol. 36, Issue 1A (30 Jun. 2018), pp.45-54, 10 p.

Publisher

University of Basrah College of Science

Publication Date

2018-06-30

Country of Publication

Iraq

No. of Pages

10

Main Subjects

Mathematics

Abstract EN

In this paper, “a Modern Roman Domination" is introduced, which is a new model of graph domination.

A modem Roman dominating function on a graph G = (V; E) is a labeling function/: V(G) — {0.1.2.3} 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 every vertex with label 1 is adjacent to a vertex with label 2 or 3.

The weight of a modem Roman dominating function /is w(f) = Spev/(v).The "Modem Roman Domination Number"ymr(G) is the minimum f(V) = E„ev f(v) over all such functions ofG.

In this paper, some properties of this new model of graph domination are introduced.

American Psychological Association (APA)

Umran, Ahmad Abd Ali& al-Huwayr, Hasan Jayad Sawadi. 2018. Modern roman domination in graphs. Basrah Journal of Science،Vol. 36, no. 1A, pp.45-54.
https://search.emarefa.net/detail/BIM-904394

Modern Language Association (MLA)

Umran, Ahmad Abd Ali& al-Huwayr, Hasan Jayad Sawadi. Modern roman domination in graphs. Basrah Journal of Science Vol. 36, no. 1A (2018), pp.45-54.
https://search.emarefa.net/detail/BIM-904394

American Medical Association (AMA)

Umran, Ahmad Abd Ali& al-Huwayr, Hasan Jayad Sawadi. Modern roman domination in graphs. Basrah Journal of Science. 2018. Vol. 36, no. 1A, pp.45-54.
https://search.emarefa.net/detail/BIM-904394

Data Type

Journal Articles

Language

English

Notes

Record ID

BIM-904394