Hinding Nurdin, Sugeng Kiki A, Wahyudi Timothy J, Simanjuntak Rinovia
Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Hasanuddin, Indonesia.
Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Indonesia, Indonesia.
Heliyon. 2022 Oct 20;8(11):e11197. doi: 10.1016/j.heliyon.2022.e11197. eCollection 2022 Nov.
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.
图上的不规则标号是一个从图的组件到非负自然数的函数，使得所有顶点或边的权重互不相同。图的组件是一组顶点、一组边或两者皆有。在本文中，我们研究了十二面体修正广义图上的两种不规则标号。我们确定了十二面体修正广义图的全顶点不规则强度和模不规则强度。这些结果很重要，因为有许多类图与修正十二面体图具有相同的结构。这些结果可用于确定与修正十二面体图结构相似的其他图的全顶点不规则强度和模不规则强度。
