Odd harmonious labeling on the union of flower graphs

Applications of graph labeling in the fields of communication network addressing, database management, secret sharing schemes, and cryptology. Graphs that satisfy the odd harmonious labeling property are called odd harmonious graphs. The purposes of the research are to obtain the construction of the union of zinnia flower graphs, the union of double quadrilateral flower graphs, the rosella flower graphs, and the union of rosella flower graphs. The research method consists of literature study, graph class construction, graph labeling construction, theorem construction, and proof. The result of the research proves that the union of the zinnia flower graph, the double quadrilateral flower graph, the rosella flower graph, and the union of the rosella flower graph satisfies the odd harmonious labeling property. Thus, the novelty of this research is that the properties of the new graph class of odd harmonious graphs are obtained.

Authors

Publication Details

Journal
Desimal Jurnal Matematika
Published
2024-12-30
DOI
https://doi.org/10.24042/djm.v7i3.24612
Primary Topic
Graph Labeling and Dimension Problems
Type
article
Field-Weighted Citation Impact
0.00
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article

Odd harmonious labeling on the union of flower graphs

Fery Firmansah, Joko Sungkono, Tasari Tasari
Desimal Jurnal Matematika
Graph Labeling and Dimension Problems
article

Odd harmonious labeling on the union of flower graphs

Fery Firmansah, Joko Sungkono, Tasari Tasari
article en

Abstract

Applications of graph labeling in the fields of communication network addressing, database management, secret sharing schemes, and cryptology. Graphs that satisfy the odd harmonious labeling property are called odd harmonious graphs. The purposes of the research are to obtain the construction of the union of zinnia flower graphs, the union of double quadrilateral flower graphs, the rosella flower graphs, and the union of rosella flower graphs. The research method consists of literature study, graph class construction, graph labeling construction, theorem construction, and proof. The result of the research proves that the union of the zinnia flower graph, the double quadrilateral flower graph, the rosella flower graph, and the union of the rosella flower graph satisfies the odd harmonious labeling property. Thus, the novelty of this research is that the properties of the new graph class of odd harmonious graphs are obtained.

Desimal Jurnal MatematikaVol. 7(3)
Openalex Percentile: Top 67%
Graph Labeling and Dimension Problems
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