BAREKENG: Jurnal Ilmu Matematika dan Terapan
Vol 18 No 1 (2024): BAREKENG: Journal of Mathematics and Its Application

A PROPERLY EVEN HARMONIOUS LABELING OF SOME WHEEL GRAPH W_n FOR n IS EVEN

Fakhrun Nisa (Department of Mathematics Education, FKIP, University of Nahdlatul Ulama Sunan Giri, Indonesia)
M. Ivan Ariful Fathoni (Department of Mathematics Education, FKIP, University of Nahdlatul Ulama Sunan Giri, Indonesia)
Adika Setia Brata (Department of Statistics, Institut Sains dan Teknologi Nahdlatul Ulama Bali, Indonesia)

Article Info

Publish Date
01 Mar 2024

Abstract

A properly even harmonious labeling of a graph G with q edges is an injective mapping f from the vertices of graph G to the integers from 0 to 2q-1 such that induces a bijective mapping f* from the edges of G to {0,2,...,2q-2} defined by f*(v_iv_j)=(f(v_i)+f(v_j))(mod2q). A graph that has a properly even harmonious labeling is called a properly even harmonious graph. In this research, we will show the existence of a properly even harmonious labeling of some wheel graph W_n for n is even.

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Journal Info
BAREKENG: Jurnal Ilmu Matematika dan Terapan
Website

Abbrev

barekeng

Publisher

Universitas Pattimura

Subject

Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Energy Engineering Mathematics Mechanical Engineering Physics Transportation

Description

BAREKENG: Jurnal ilmu Matematika dan Terapan is one of the scientific publication media, which publish the article related to the result of research or study in the field of Pure Mathematics and Applied Mathematics. Focus and scope of BAREKENG: Jurnal ilmu Matematika dan Terapan, as follows: - Pure ...