Two types irregular labelling on dodecahedral modified generalization graph. Issue 11 (November 2022)

• Record Type: Journal Article
• Authors: Hinding, Nurdin; Sugeng, Kiki A.; Nurlindah, ; Wahyudi, Timothy J.; Simanjuntak, Rinovia
• Is Part Of: Heliyon. Volume 8:Issue 11(2022)
• Publication Date: 2022-11
• Subjects: Dodecahedral graph -- Irregular labelling -- Modular irregularity strength -- Total vertex irregularity strength; Research -- Periodicals; Medical sciences -- Periodicals; Natural history -- Periodicals; Social sciences -- Periodicals; Earth sciences -- Periodicals; Physical sciences -- Periodicals; 507.2
• DOI: 10.1016/j.heliyon.2022.e11197
• Languages: English
• ISSNs: 2405-8440

Abstract

Abstract: Irregular labelling on graph is a function from component of graph to non-negative natural number such that the weight of all vertices, or edges are distinct. The component of graph is a set of vertices, a set of edges, or a set of both. In this paper we study two types of irregular labelling on dodecahedral modified generalization graph. We determined the total vertex irregularity strength and the modular irregularity strength of dodecahedral modified generalized graph. These results are important because there many classes of graph have the same structure with modified dodecahedral graphs. These results can be used to determine the total vertex irregularity strength and the modular irregularity strength of other graphs that have the similar structure with modified dodecahedral graph. Abstract : Dodecahedral graph; Irregular labelling; Modular irregularity strength; Total vertex irregularity strength