Indonesian Journal of Combinatorics
Vol 5, No 1 (2021)

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

Irfan Setiawan (Universitas Sebelas Maret)
Diari Indriati (Universitas Sebelas Maret)

Article Info

Publish Date
30 Jun 2021

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.

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Journal Info
Indonesian Journal of Combinatorics
Website

Abbrev

ijc

Publisher

Indonesian Combinatorial Society

Subject

Computer Science & IT Decision Sciences, Operations Research & Management

Description

Indonesian Journal of Combinatorics (IJC) publishes current research articles in any area of combinatorics and graph theory such as graph labelings, optimal network problems, metric dimension, graph coloring, rainbow connection and other related topics. IJC is published by the Indonesian ...