Whole Even Sum Domination in Graphs

In this paper, a new concept of domination which is called whole even sum domination is presented, many bounded, properties, remarks, examples, are introduced. Furthermore, some operations as join and corona graphs of sum graphs are discussed. Finally, determined this number of the graph obtained from a graph G by the removal of all edges between any pair of neighbours of a vertex.

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Publication Details

Journal
Journal of Kufa for Mathematics and Computer
Published
2024-08-31
DOI
https://doi.org/10.31642/jokmc/2018/110219
Primary Topic
Advanced Graph Theory Research
Type
article
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article

Whole Even Sum Domination in Graphs

Ahmed A. Omran, Ahlama Abd
Journal of Kufa for Mathematics and Computer
Advanced Graph Theory Research
article

Whole Even Sum Domination in Graphs

Ahmed A. Omran, Ahlama Abd
article en

Abstract

In this paper, a new concept of domination which is called whole even sum domination is presented, many bounded, properties, remarks, examples, are introduced. Furthermore, some operations as join and corona graphs of sum graphs are discussed. Finally, determined this number of the graph obtained from a graph G by the removal of all edges between any pair of neighbours of a vertex.

Journal of Kufa for Mathematics and ComputerVol. 11(2)
University of Babylon (IQ), Outokumpu (Finland) (FI)
Openalex Percentile: Top 81%
Advanced Graph Theory Research
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Whole Even Sum Domination in Graphs — Ahmed A. Omran, Ahlama Abd · Journal of Kufa for Mathematics and Computer (2024) | TGRS Research Map | TGRS