### Edge irregular reflexive labeling on sun graph and corona of cycle and null graph with two vertices

Irfan Setiawan, Diari Indriati

#### Abstract

Let G(V,E) be a simple and connected graph which set of vertices is V and set of edges is E. Irregular reflexive k-labeling f on G(V,E) is assignment that carries the numbers of integer to elements of graph, such that the positive integer {1,2, 3,...,ke} assignment to edges of graph and the even positive integer {0,2,4,...,2kv} assignment to vertices of graph. Then, we called as edge irregular reflexive k-labelling if every edges has different weight with k = max{ke,2kv}. Besides that, there is definition of reflexive edge strength of G(V,E) denoted as res(G), that is a minimum k that using for labeling f on G(V,E). This paper will discuss about edge irregular reflexive k-labeling for sun graph and corona of cycle and null graph, denoted by Cn ⨀ N2 and make sure about their reflexive edge strengths.

#### Keywords

Edge irregular reflexive labeling, Reflexive edge strength, Sun graph, Corona of cycle and null graph

#### Full Text:

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DOI: http://dx.doi.org/10.19184/ijc.2021.5.1.5

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ISSN: 2541-2205