Pelabelan Harmonis Ganjil pada Graf Bunga Double Quadrilateral
Abstract
Graf harmonis ganjil adalah graf yang memenuhi sifat-sifat pelabelan harmonis ganjil. Tujuan dari penelitian ini adalah mendapatkan kelas graf baru yang merupakan graf harmonis ganjil. Metode penelitian yang digunakan terdiri dari beberapa tahapan yaitu konstruksi definisi, formulasi fungsi pelabelan dan pembuktian teorema. Hasil dari penelitian ini adalah konstruksi graf bunga double quadrilateral dengan dan graf bunga variasi double quadrilateral dengan yang merupakan pengembangan dari graf double quadrilateral dan graf variasi double quadrilateral . Lebih lanjut telah dibuktikan bahwa graf dan adalah graf harmonis ganjil.
Kata Kunci: graf double quadrilateral, graf bunga, graf harmonis ganjil, pelabelan graf
Odd Harmonious Labelling on The Flower Double Quadrilateral Graphs
ABSTRACT
Odd harmonious graphs are graphs that have odd harmonious labeling properties. The purpose of this study is to get a new class of graphs which are odd harmonious graphs. The research method used consists of several stages, namely construction of definitions, formulation of labeling functions and proof of theorems. The results of this study is to get a graph construction will be given, namely the flower quadrilateral graphs with and the flower variation of quadrilateral graphs with , which are the development of double quadrilateral graphs and variation double quadrilateral graphs . It has further been proven that and are odd harmonious graphs.
Keywords: double quadrilateral graph, flower graph, labeling graph, odd harmonious graphFull Text:
PDFReferences
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DOI: https://doi.org/10.35799/jis.20.1.2020.27278
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