THE HARMONIOUS, ODD HARMONIOUS, AND EVEN HARMONIOUS LABELING

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 i...

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Bibliographic Details
Main Authors: Ahmad Lasim, Ikhsanul Halikin, Kristiana Wijaya
Format: Article
Language:English
Published: Universitas Pattimura 2022-12-01
Series:Barekeng
Subjects:
Online Access:https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/5091
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Summary: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)
ISSN:1978-7227
2615-3017