Odd Harmonious Labeling of Lotus Flower Graphs

The purpose of the research is to obtain the construction of a new graph class definition and the new graph class satisfies the properties of odd harmonious labeling. The research method consists of a preliminary stage, namely the stage of finding open problems, the stage of analyzing data for the formation of definitions and theorems, the stage of verifying the results of proving the theorems mathematically. The research results obtained three new graph class definitions, namely the definition of lotus flower graph, the definition of lotus flower graph with pendant, and the definition of lotus flower graph variation. Furthermore, it has been proven that lotus flower graph, lotus flower graph with pendant, and variation of lotus flower graph satisfy the properties of odd harmonious labeling so that they are odd harmonious.

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Publication Details

Journal
CAUCHY Jurnal Matematika Murni dan Aplikasi
Published
2025-11-26
DOI
https://doi.org/10.18860/cauchy.v10i2.35272
Primary Topic
Graph Labeling and Dimension Problems
Type
article
Field-Weighted Citation Impact
0.00
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article

Odd Harmonious Labeling of Lotus Flower Graphs

Muhammad Ridlo Yuwono, Fery Firmansah, Tasari Tasari
CAUCHY Jurnal Matematika Murni dan Aplikasi
Graph Labeling and Dimension Problems
article

Odd Harmonious Labeling of Lotus Flower Graphs

Muhammad Ridlo Yuwono, Fery Firmansah, Tasari Tasari
article en

Abstract

The purpose of the research is to obtain the construction of a new graph class definition and the new graph class satisfies the properties of odd harmonious labeling. The research method consists of a preliminary stage, namely the stage of finding open problems, the stage of analyzing data for the formation of definitions and theorems, the stage of verifying the results of proving the theorems mathematically. The research results obtained three new graph class definitions, namely the definition of lotus flower graph, the definition of lotus flower graph with pendant, and the definition of lotus flower graph variation. Furthermore, it has been proven that lotus flower graph, lotus flower graph with pendant, and variation of lotus flower graph satisfy the properties of odd harmonious labeling so that they are odd harmonious.

CAUCHY Jurnal Matematika Murni dan AplikasiVol. 10(2)
Universitas Widya Dharma Klaten (ID)
Openalex Percentile: Top 63%
Graph Labeling and Dimension Problems
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