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ODD GRACEFUL LABELINGS OF GRAPHS
Discrete Mathematics, Algorithms and Applications, 2009A graph G = (V(G), E(G)) with q edges is said to be odd graceful if there exists an injection f from V(G) to {0, 1, 2, …, 2q - 1} such that the edge labeling set is {1, 3, 5, …, 2q - 1} with each edge xy assigned the label |f(x) - f(y)|. In this paper, we prove that Pn × Pm (m = 2, 3, 4), generalized crown graphs Cn ⊙ K1,t and gear graphs are odd ...
Zhen-Bin Gao+2 more
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Graceful labeling based En (Grace) cryption and De (Grace) cryption
2013 IEEE International Conference ON Emerging Trends in Computing, Communication and Nanotechnology (ICECCN), 2013In recent years, Encryption has fascinated extra responsiveness owing to the swift development in multimedia and network technologies where the data has to be shielded from unauthorized access. Image scrambling scheme provide protection for digital images.
N. R. Raajan, P. Mithun
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Graceful Labelings: The Shifting Technique
2017Graceful labelings of graphs appeared in 1967 due to the relationship found with the problem of decompositions of graphs, in particular with the problem of decomposing complete graphs into copies of a given tree. Strong relations between graceful labelings and Golomb rulers (which are a different way to understand Sidon sets) were also found.
Francesc A. Muntaner-Batle+1 more
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A Metaheuristic Approach to the Graceful Labeling Problem
International Journal of Applied Metaheuristic Computing, 2010In graph theory, a graceful labeling of a graph G = (V, E) with n vertices and m edges is a labeling of its vertices with distinct integers between 0 and m inclusive, such that each edge is uniquely identified by the absolute difference between its endpoints.
Kourosh Eshghi, Houra Mahmoudzadeh
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National academy science letters, 2023
Ajay Kumar, Debdas Mishra, V. Srivastava
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Ajay Kumar, Debdas Mishra, V. Srivastava
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Edge-odd graceful labeling of Cartesian product of two paths
Journal of Information and Optimization SciencesLet G be a finite simple graph with p vertices and q edges is called an edge odd graceful labeling if there exists a bijective map f : E(G)→{1, 3, 5,,(2k − 1)} such that when each vertex is assigned, the sum of all edges incident to it mod 2k, where k =
D. Senthil Kumar, R. Anbarasan
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An efficient encryption process with graceful labeling – A hybrid approach
INTERNATIONAL CONFERENCE ON ADVANCES IN MATERIALS, COMPUTING AND COMMUNICATION TECHNOLOGIES: (ICAMCCT 2021), 2022V. Shruthy, V. Maheswari
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Odd graceful labeling of super subdivision of few graphs
Bulletin of Pure & Applied Sciences- Mathematics and Statistics, 2022J. Jesintha+2 more
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ODD GRACEFUL LABELING OF ARBITRARY SUPERSUBDIVISION OF CERTAIN GRAPHS
Advances and Applications in Discrete Mathematics, 2022A. Velankanni, A. B. Raj
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