Dominator semi strong color partition in graphs

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dc.contributor.authorSUNDARESWARAN, Raman
dc.contributor.departmentOthertr_TR
dc.contributor.facultyOthertr_TR
dc.date.accessioned2022-12-29T10:29:02Z
dc.date.available2022-12-29T10:29:02Z
dc.date.issued2022
dc.description.abstractLet G =(V,E) be a simple graph. A subset S is said to be Semi-Strong if for every vertex v in V, |N(v)∩S|≤1, or no two vertices of S have the same neighbour in V, that is, no two vertices of S are joined by a path of length two in V. The minimum cardinality of a semi-strong partition of G is called the semi-strong chromatic number of G and is denoted by χsG. A proper colour partition is called a dominator colour partition if every vertex dominates some colour class, that is , every vertex is adjacent with every element of some colour class. In this paper, instead of proper colour partition, semi-strong colour partition is considered and every vertex is adjacent to some class of the semi-strong colour partition.Several interesting results are obtained.tr_TR
dc.description.indexTrdizintr_TR
dc.identifier.endpage943tr_TR
dc.identifier.issn/e-issn1303-5991
dc.identifier.issue4tr_TR
dc.identifier.startpage930tr_TR
dc.identifier.urihttps://doi.org/10.31801/cfsuasmas.1014919tr_TR
dc.identifier.urihttp://hdl.handle.net/20.500.12575/86604
dc.identifier.volume71tr_TR
dc.language.isoentr_TR
dc.publisherAnkara Üniversitesitr_TR
dc.relation.isversionof10.31801/cfsuasmas.1014919tr_TR
dc.relation.journalCommunications, Series A1:Mathematics and Statisticstr_TR
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıtr_TR
dc.subjectDominator coloring, semi strong color partition, semi-strong coloringtr_TR
dc.titleDominator semi strong color partition in graphstr_TR
dc.typeArticletr_TR

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Cilt:71 Sayı:04 (2022)