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الصفحة الرئيسية » الإصدار 4، العدد 1 ـــــ يناير 2025 ـــــ Vol. 4, No. 1 » Families of Disjoint Sets Colouring Technique and Concept of Common Face and Non-Common Face

Families of Disjoint Sets Colouring Technique and Concept of Common Face and Non-Common Face

    Authors

    Associate Professor, Department of Pure Mathematics, Faculty of mathematical Sciences and Informatics, University of Khartoum, Khartoum, Sudan

    [email protected]

    Abstract

    Families of disjoint sets colouring technique is trial to generalize all type of colouring and partition. This paper related to face colouring, in this paper we introduce the concept of common face and non-common face, and used two methods to determine adjacency of faces. We introduce some results related to the concept of common face and results related to non-common face, and introduce some results explain the number of minimum colour classes not changed after addition or after removal of non-common face, if maximum clique number is constant.