Deletion of a vertex in even sum domination

Author:

Alfatlawi Ahllam A.1,Omran Ahmed A.2

Affiliation:

1. Department of Mathematics, Faculty of Education for Girls, University of Kufa , Najaf , Iraq

2. Department of Mathematics, College of Education for Pure Science, University of Babylon , Babylon , Iraq

Abstract

Abstract Some aspects of even sum domination are introduced generally in this book. Additionally, the number of even sum dominators in graph G may change or remain the same when a vertex is removed. The final step is to calculate the even sum domination number for every possible scenario in which a vertex in a connected network is removed.

Publisher

Walter de Gruyter GmbH

Reference7 articles.

1. Rasheed IM, Omran AA. Even sum domination in graphs with algorithm. AIP Conf Proc. 2022;2386(1):060016.

2. Al-Asadi SK, Omran AA, Al-Maamori FA. Some properties of Mobius function graph M (1). Adv Math Models Appl. 2022;7(1):48–54.

3. Al-Harere MN, Omran AA. Binary operation graphs. AIP Conf Proc. 2019;2086(1):030008.

4. Alwan A, Omran AA. Domination polynomial of the composition of complete graph and star graph. J Phys Conf Ser. 2020;1591:012048. 10.1088/17426596/1591/1/012048.

5. Alfatlawi AA, Omran AA. Even sum domination number of join two paths. Math Stat Eng Appl. 2022;71(4):8894–904.

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