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All Journal BAREKENG: Jurnal Ilmu Matematika dan Terapan
Ahmad Lasim
Graph and Algebra Research Group, Mathematics Department, Faculty of Mathematics and Natural Sciences, Universitas Jember
Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Energy Engineering Mathematics Mechanical Engineering Physics Transportation

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THE HARMONIOUS, ODD HARMONIOUS, AND EVEN HARMONIOUS LABELING Ahmad Lasim; Ikhsanul Halikin; Kristiana Wijaya
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 16 No 4 (2022): BAREKENG: Journal of Mathematics and Its Applications
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (396.742 KB) | DOI: 10.30598/barekengvol16iss4pp1131-1138

Abstract

Suppose is a simple and connected graph with edges. A harmonious labeling on a graph is an injective function so that there exists a bijective function where for each An odd harmonious labeling on a graph is an injective function from to non-negative integer set less than so that there is a function where for every An even harmonious labeling on a graph is an injective function so that there is a bijective function where for each . In this paper, we discuss how to build new labeling (harmonious, odd harmonious, even harmonious) based on the existing labeling (harmonious, odd harmonious, even harmonious)
Co-Authors Ikhsanul Halikin, Ikhsanul Kristiana Wijaya