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The Odd Harmonious Labeling of Layered Graphs [PDF]
JTAM (Jurnal Teori Dan Aplikasi Matematika), 2023 Graphs that have the properties of odd harmonious labeling are odd harmonious graphs. The research objective of this paper is to obtain odd harmonious labeling on layered graph C(x,y) and layered graph D(x,y). The research used in this paper is a qualitative method. The research flow consists of data collection, processing, and analysis.
Fery Firmansah
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Odd Harmonious Labeling on Some String Graph Classes [PDF]
Barekeng Jurnal Ilmu Matematika Dan Terapan, 2022 A graph with the labeling properties of odd harmonic is called an odd harmonious graph. The purpose of this research was to get labeling properties of odd harmonic on the class of string graphs. The research used was a qualitative research method. The result of the research was that the definition and construction of a string graph, the union of a ...
Fery Firmansah
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Odd Harmonious Labeling on the Amalgamation of the Generalized Double Quadrilateral Windmill Graph
Desimal Jurnal Matematika, 2021 Graph labeling is one of the topics of graph theory that is growing very rapidly both in terms of theory and application. A graph that satisfies the labeling property of odd harmonious is called an odd harmonious graph. The method used in this research is qualitative research by developing a theory and a new class of graphs from odd harmonious graphs ...
Fery Firmansah
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Odd Harmonious Labeling on Pleated of the Dutch Windmill Graphs [PDF]
Cauchy, 2017 A graph G(p,q) with p=|V(G)| vertices and q=|E(G)| edges. The graph G(p,q) is said to be odd harmonious if there exist an injection f: V(G)-{0,1,2,...,2q-1} such that the induced function f*: E(G)-{1,2,3,...,2q-1} defined by f*(uv)=f(u)+f(v) which is a bijection and f is said to be odd harmonious labeling of G(p,q). In this paper we prove that pleated
Muhammad Ridlo Yuwono, Fery Firmansah
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Odd Harmonious Labeling on Edge Amalgamation From Double Quadrilateral Graphs
Desimal Jurnal Matematika, 2020 A graph that has odd harmonious labeling properties is called an odd harmonious graph. The purpose of this research is to obtain a new class graphs construction which is a family of odd harmonious graphs. The research method used consisted of several stages, namely research preparation, research investigation and verifivation of research results.
Tasari Tasari
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Odd Harmonious Labeling of Super Subdivisión Graphs [PDF]
Proyecciones, 2019 A graph G(p, q) is said to be odd harmonious if there exists an injection ?: V (G) → {0, 1, 2, · · · , 2q − 1} such that the induced function ?∗: E(G) → {1, 3, · · · , 2q − 1} defined by ?∗(uv) = ? (u) + ? (v) is a bijection. In this paper we prove that super subdivision of any cycle Cm with m ≥ 3 ,ladder, cycle Cn for n ≡ 0(mod 4) with K1,m and ...
Pon Jeyanthi
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Odd Harmonious Labeling of Grid Graphs
Proyecciones, 2019 A graph G(p, q) is said to be odd harmonious if there exists an injection f : V (G) → {0, 1, 2, · · · , 2q − 1} such that the induced function f* : E(G) → {1, 3, · · · , 2q − 1} defined by f∗ (uv) = f (u) + f (v) is a bijection. In this paper we prove that path union of t copies of Pm×Pn, path union of t different copies of Pmᵢ×Pnᵢ where 1 ≤ i ≤ t ...
Maged Z Youssef, Pon Jeyanthi
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Odd Harmonious Labeling of Some New Families of Graphs
Electronic Notes in Discrete Mathematics, 2015 Abstract A graph G is said to be odd harmonious if there exists an injection f : V ( G ) → { 0 , 1 , 2 , … , 2 q − 1 } such that the induced function f ⁎ : E ( G ) → { 1 , 3 , … , 2 q − 1 } defined by f ⁎ ( u v ) = f ( u ) + f ( v ) ( m o d 2 q ) is a ...
Pon Jeyanthi
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Odd Harmonious Labeling of the Zinnia Flower Graphs
Jurnal Ilmiah Sains, 2023 An odd harmonious graph is a graph that satisfies the odd harmonious labeling properties. In this study, a new graph class construction is presented, namely zinnia flower graphs and variations of the zinnia flower graphs. The research method used is qualitative and includes several phases, namely data collection, data processing and analysis, and ...
Muhammad Ridlo Yuwono +2 more
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Odd Harmonious Labeling of Lotus Flower Graphs
CauchyThe 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 ...
Muhammad Ridlo Yuwono +2 more
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