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Graceful Labelings of Nearly Complete Graphs
Results in Mathematics, 2002A graph with \(q\) edges is graceful, if we can assign to each vertex an integer in \(\{0, 1, \ldots, q\}\), such that all edges have a different value of the absolute difference of the labels of its endpoints. This paper investigates which graphs that are `nearly complete', or a complete multipartite graph, are graceful.
Beutner, Detlev, Harborth, Heiko
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On graceful and cordial labeling of shell graphs.
Ars Comb., 2011A graceful labeling, an \(\alpha \)-labeling (called here \(\Delta \)-labeling), and a cordial labeling of yet another special class of graphs are provided. Unfortunately, the paper contains many typographical, grammatical and stylistic errors.
G. Sethuraman 0001, K. Sankar
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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.
P. Mithun, N. R. Raajan
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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.
Houra Mahmoudzadeh, Kourosh Eshghi
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Evolving labelings of graceful graphs
Proceedings of the Genetic and Evolutionary Computation Conference, 2022Luke Branson, Andrew M. Sutton
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A Study on Graceful and ∅-Graceful Labeling of Some Graphs
International Journal of Computing Algorithm, 2017M. Radhika, V. S. Selvi
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On Locally Monotone Graceful Labelings
In previous versions some translations were missed and incorrect.openaire +1 more source
Graceful labelings of cyclic snakes.
Ars Comb., 2001A graph \(G=(V,E)\) with \(m\) edges is called graceful if there is an injection \(f\: V\to \{0,1,\dots ,m\}=A\) such that \(\{| f(x)-f(y)| \:\{x,y\}\in E\}=B\) equals \(\{1,2,\dots ,m\}\). It is nearly graceful if \(A\) is replaced by \(\{0,1,\dots ,m+1\}\) and \(B\) equals \(\{1,2,\dots ,m\}\) or \(\{1,2,\dots ,m-1,m+1\}\).
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