j. inst. sci. and tech.

Journal of the Institute of Science and Technology

2536-4618

Igdir University

10.21597/jist.1460711

Pure Mathematics (Other)

Temel Matematik (Diğer)

Edge Co-Even Domination

https://orcid.org/0000-0002-3137-4422

Demirpolat

Nazlıcan Çağla

EGE UNIVERSITY, INSTITUTE OF SCIENCE, MATHEMATICS (MASTER) (WITH THESIS)

https://orcid.org/0000-0002-1074-5589

Kılıç

Elgin

EGE UNIVERSITY

https://orcid.org/0000-0002-8362-530X

Omran

Ahmed

University of Babylon

03 01 2025

15 1 291 297 05 11 2024 11 07 2024

2011

Journal of the Institute of Science and Technology

Domination is one of those important parameters in graph theory which has a very wide range of applications. There are various types of domination depending on the structure of dominating sets. In this study, a new domination parameter called edge co-even domination number is introduced and denoted by γ_coe^' (G). Some basic graphs such as path, cycle, complete, complete bipartite, star, regular, wheel and their complement graphs are examined of this definition. In addition, some results of this parameter are found under graph operations, such as corona and cartesian product.

Domination Edge co-even dominating set Edge co-even domination number

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