Edge Co-Even Domination

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Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi
Cilt: 15 Sayı: 1
Edge Co-Even Domination

Edge Co-Even Domination

Authors : Nazlıcan Çağla Demirpolat, Elgin Kılıç, Ahmed Omran

Pages : 291-297

Doi:10.21597/jist.1460711

View : 44 | Download : 24

Publication Date : 2025-03-01

Article Type : Research Paper

Abstract :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.
Keywords : Domination, Edge co-even dominating set, Edge co-even domination number

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