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The Harmonious, Odd Harmonious, and Even Harmonious Labeling [PDF]

open access: yesBarekeng Jurnal Ilmu Matematika Dan Terapan, 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 ...
Kristiana Wijaya
exaly   +4 more sources

The Odd Harmonious Labeling of Layered Graphs [PDF]

open access: yesJTAM (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
exaly   +4 more sources

Odd Harmonious Labeling on Some String Graph Classes [PDF]

open access: yesBarekeng 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.
Fery Firmansah
exaly   +4 more sources

Odd Harmonious Labeling on the Amalgamation of the Generalized Double Quadrilateral Windmill Graph

open access: yesDesimal 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.
Fery Firmansah
exaly   +4 more sources

Odd Harmonious Labeling on Edge Amalgamation From Double Quadrilateral Graphs

open access: yesDesimal 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.
Tasari Tasari
exaly   +4 more sources

Odd Harmonious Labeling on Pleated of the Dutch Windmill Graphs [PDF]

open access: yesCauchy, 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 ...
Muhammad Ridlo Yuwono, Fery Firmansah
exaly   +4 more sources

A Properly Even Harmonious Labeling of Some Wheel Graph W_N for N Is Even [PDF]

open access: yesBarekeng Jurnal Ilmu Matematika Dan Terapan
A properly even harmonious labeling of a graph G with q edges is an injective mapping  f from the vertices of graph G to the integers from 0 to 2q-1 such that induces a bijective mapping f* from the edges of  G to {0,2,...,2q-2} defined by f*(v_iv_j)=(f ...
M Ivan Ariful Fathoni, Adika Setia Brata
exaly   +4 more sources

Even-Odd Prime Harmonious Graphs [PDF]

open access: yesPandian Journal of Mathematical Sciences, 2022
The paper considers finite and undirected simple connected graphs. Usually, graph labeling is an assignment of integers to the vertices or edges in the method.
Dr R. S. Ramkumar
doaj   +2 more sources

Properly Even Harmonious Labeling of a Union of Stars

open access: yesElectronic Journal of Graph Theory and Applications
A function f is defined as an even harmonious labeling on a graph G with q edges if f : V(G)→{0, 1, …, 2q} is an injection and the induced function f* : E(G)→{0, 2, …, 2(q − 1)} defined by f*(uv)=f(u)+f(v) (mod2q) is bijective. A properly even harmonious
Zachary M. Henderson
exaly   +3 more sources

ODD HARMONIC LABELING ON Cm,n ⊵e C4 GRAPH

open access: yesJurnal 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
doaj   +1 more source

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