Unnes Journal of Mathematics
Vol 9 No 1 (2020)

NILAI KETAKTERATURAN SISI TOTAL PADA GRAF AMALGAMASI SUBDIVISI GRAF DOVETAIL

Nurdini, Eka (Unknown)
Rosyida, Isnaini (Unknown)
Mulyono, Mulyono (Unknown)



Article Info

Publish Date
22 Jun 2020

Abstract

Given a graph G(V,E) with a non-empty set V of vertices and a set E of edges. A total labelling λ:V∪E→{1,2,…,k} is called an edge irregular total labelling if the weight of every edge is distinct. The weight of an edge e, under the total labelling λ, is the sum of label of edge e and all labels of vertices that are incident to e. In other words, w(xy)=λ(xy)+λ(x)+λ(y). The total edge irregularity strength of G, denoted by tes(G) is the minimum k used to label graph G with the edge irregular total labelling. In this paper, authors investigate the total edge irregularity strength of Amalgamation between Subdivision of Dovetail graph with pendant vertices and cycle graph (〖SD〗_n^n,x)*(C_(3n-3),z). The results of this research are tes((〖SD〗_n^n,x)*(C_(3n-3),z))=⌈(9n-3)/3⌉.

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Journal Info

Abbrev

ujm

Publisher

Subject

Mathematics

Description

Unnes Journal of Mathematics (UJM) publishes research issues on mathematics and its apllication. The UJM processes manuscripts resulted from a research in mathematics and its application scope, which includes. The scopes include research in: 1. Algebra 2. Analysis 3. Discrete Mathematics and Graph ...