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Graceful Labeling and Skolem Graceful Labeling on the U-star Graph and It’s Application in Cryptography [PDF]
Jambura Journal of Mathematics, 2021 Graceful Labeling on graph G=(V, E) is an injective function f from the set of the vertex V(G) to the set of numbers {0,1,2,...,|E(G)|} which induces bijective function f from the set of edges E(G) to the set of numbers {1,2,...,|E(G)|} such that for ...
Meliana Pasaribu +2 more
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Polygonal Graceful Labeling of Some Simple Graphs
Ratio Mathematica, 2022 Let be a graph with vertices and edges. Let andbe the vertex set and edge set of respectively. A polygonal graceful labeling of a graph is an injective function , where is a set of all non-negative integers that induces a bijection , where is the ...
A Rama Lakshmi, M P Syed Ali Nisaya
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On Rainbow Antimagic Coloring of Joint Product of Graphs
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2023 Let be a connected graph with vertex set and edge set . A bijection from to the set is a labeling of graph . The bijection is called rainbow antimagic vertex labeling if for any two edge and in path , where and .
Brian Juned Septory +3 more
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Extending of Edge Even Graceful Labeling of Graphs to Strong r-Edge Even Graceful Labeling
Journal of Mathematics, 2021 Edge even graceful labeling of a graph G with p vertices and q edges is a bijective f from the set of edge EG to the set of positive integers 2,4,…,2q such that all the vertex labels f∗VG, given by f∗u=∑uv∈EGfuvmod2k, where k=maxp,q, are pairwise ...
Mohamed R. Zeen El Deen, Nora A. Omar
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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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On Antimagic Labeling for Some Families of Graphs
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2023 Antimagic labeling of a graph with vertices and edges is assigned the labels for its edges by some integers from the set , such that no two edges received the same label, and the weights of vertices of a graph are pairwise distinct.
Noor K. Shawkat, Mohammed A. Ahmed
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Modular Irregular Labeling on Double-Star and Friendship Graphs
Journal of Mathematics, 2021 A modular irregular graph is a graph that admits a modular irregular labeling. A modular irregular labeling of a graph G of order n is a mapping of the set of edges of the graph to 1,2,…,k such that the weights of all vertices are different.
K. A. Sugeng +3 more
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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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Journal of Function Spaces, 2022 Graph theory is considered an attractive field for finding the proof techniques in discrete mathematics. The results of graph theory have applications in many areas of social, computing, and natural sciences.
A. El-Mesady +2 more
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Some New Results on Lucky Labeling
مجلة بغداد للعلوم, 2023 Czerwi’nski et al. introduced Lucky labeling in 2009 and Akbari et al and A.Nellai Murugan et al studied it further. Czerwi’nski defined Lucky Number of graph as follows: A labeling of vertices of a graph G is called a Lucky labeling if for every pair ...
J. Ashwini +2 more
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