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THE HARMONIOUS, ODD HARMONIOUS, AND EVEN HARMONIOUS LABELING
Barekeng, 2022 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 ...
Ahmad Lasim +2 more
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On Harmonious Labeling of Corona Graphs [PDF]
Journal of Applied Mathematics, 2014 A graph G with q edges is said to be harmonious, if there is an injection f from the vertices of G to the group of integers modulo q such that when each edge xy is assigned the label f(x)+f(y) (mod q), the resulting edge labels are distinct.
Martin Bača, Maged Z. Youssef
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Odd Harmonious Labeling of Some Classes of Graphs [PDF]
Cubo, 2020 A graph $G(p,q)$ is said to be odd harmonious if there exists an injection $f: V(G)\rightarrow\left\{0, 1, 2,\cdots,2q-1\right\}$ such that the induced function $f^{*}: E(G)\rightarrow\left\{1, 3,\cdots,2q-1\right\}$ defined by $f^{*}(uv) = f(u)+ f(v ...
P. Jeyanthi, S. Philo
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Odd Harmonious Labeling Of Some Graphs [PDF]
, 2012 The labeling of discrete structures is a potential area of research due to its wide range of applications. The present work is focused on one such labeling called odd harmonious labeling.
Vaidya, S.K., Shah, N.H.
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The Odd Harmonious Labeling of Layered Graphs
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).
Fery Firmansah
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ODD HARMONIOUS LABELING ON SOME STRING GRAPH CLASSES
Barekeng, 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.
Fery Firmansah
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Properly even harmonious labelings of disconnected graphs
AKCE International Journal of Graphs and Combinatorics, 2015 A graph G with q edges is said to be harmonious if there is an injection f from the vertices of G to the group of integers modulo q such that when each edge xy is assigned the label f(x)+f(y)(modq), the resulting edge labels are distinct. If G is a tree,
Joseph A. Gallian, Danielle Stewart
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Odd Harmonious Labeling on Edge Amalgamation from Double Quadrilateral Graphs
Desimal, 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.
Fery Firmansah, Tasari Tasari
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ODD HARMONIC LABELING ON Cm,n ⊵e C4 GRAPH
Jurnal Diferensial, 2023 Graph is an ordered pair of a vertex and edge set that related with various theories, one of them called labeling. There are a lot of types of graph labeling, one of them is odd harmonious labeling. The odd harmonious labeling is an injective function f :
Demetriana Kolo +2 more
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Odd harmonious labeling on the amalgamation of the generalized double quadrilateral windmill graph
Desimal, 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.
Fery Firmansah, Wed Giyarti
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