On Partition Dimension and Domination of Abid-Waheed 〖(AW)〗_r^4 Graph

Main Article Content

Jalal Hatem Hussein Bayati
https://orcid.org/0000-0002-3070-2391
Abid Mahboob
https://orcid.org/0000-0002-8784-6206
Muhammad Waheed Rasheed
https://orcid.org/0000-0002-3936-7673
Dur e Najaf
https://orcid.org/0000-0003-2023-2776

Abstract

A graph denoted by H, which has a simple link between its vertices, possesses the set of vertices V(H) . Given a graph,  a set that is dominant, is a subset of vertex set  such that any vertex outside of  is close to at least one vertex inside of . The smallest size of  for the dominating set is known as the graph’s domination number. When a linked graph H has a vertex x and a subset  of the vertex set, the separation between x and S is given by. Pertaining to an ordered k-partition  of , the illustration of  in relation to Π is to be the k-vectorAbid-Waheed graph  is a simply connected graph which contains  vertices and  edges for all  and  In this paper, we studied some results on the domination number, independent and restrained domination number denoted by  respectively in the Abid-Waheed graphs  and the relation between domination number, independent and restrained domination number. Also, the objective of this paper is to generate a partition dimension of.

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On Partition Dimension and Domination of Abid-Waheed 〖(AW)〗_r^4 Graph. Baghdad Sci.J [Internet]. 2024 May 1 [cited 2024 May 28];21(5):1639. Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/8378
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How to Cite

1.
On Partition Dimension and Domination of Abid-Waheed 〖(AW)〗_r^4 Graph. Baghdad Sci.J [Internet]. 2024 May 1 [cited 2024 May 28];21(5):1639. Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/8378

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