Results 21 to 30 of about 1,092,292 (254)
Polygonal Graceful Labeling of Some Simple Graphs
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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New classes of graphs with edge $ \; \delta- $ graceful labeling
<abstract><p>Graph labeling is a source of valuable mathematical models for an extensive range of applications in technologies (communication networks, cryptography, astronomy, data security, various coding theory problems). An edge $ \; \delta - $ graceful labeling of a graph $ G $ with $ p\; $ vertices and $ q\; $ edges, for any ...
Mohamed R. Zeen El Deen +1 more
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Matching-Type Image-Labelings of Trees
A variety of labelings on trees have emerged in order to attack the Graceful Tree Conjecture, but lack showing the connections between two labelings. In this paper, we propose two new labelings: vertex image-labeling and edge image-labeling, and combine ...
Jing Su, Hongyu Wang, Bing Yao
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Edge even and edge odd graceful labelings of Paley Graphs
Abstract Edge even graceful labeling is a novel graceful labelling, introduced in 2017 by Elsonbaty and Daoud. A graph G with p vertices and q edges is called an edge even graceful if there is a bijection f: E(G) → {2, 4,. . ., 2q} such that, when each vertex is assigned the sum of the labels of all edges incident to it mod 2k, where k =
T Kamaraj, J Thangakani
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Edge even graceful labeling of some corona graphs [PDF]
Abstract Elsonbaty and Daoud introduced a labeling of graph with p vertices and q edges called edge even graceful labeling i.e. a bijective function f of the edge set E(G) into the set {2,4,6, . . . , 2q} such that the induced function f*:V(G) → {0,2,4, . . ., 2k − 2}, defined as f*(x) = (∑ xy∈E(G)
D Jayantara, null Purwanto, S Irawati
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Graceful labeling construction for some special tree graph using adjacency matrix
In 1967, Rosa introduced β − labeling which was then popularized by Golomb under the name graceful. Graceful labeling on a graph G is an injective function f : V(G)→{0, 1, 2, …, |E(G)|} such that, when each edge uv ∈ E(G) is assigned the label |f(u)−f(v)|
Nikson Simarmata +2 more
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Vertex Graceful Labeling-Some Path Related Graphs [PDF]
Treating subjects as vertex graceful graphs, vertex graceful labeling, caterpillar, actinia graphs, Smarandachely vertex m ...
Balaganesan, P. +2 more
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Super Fibonacci Graceful Labeling of Some Special Class of Graphs [PDF]
A Fibonacci graceful labeling and a super Fibonacci graceful labeling on graphs were introduced by Kathiresan and Amutha in ...
Sridevi, R. +2 more
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A survey and a new class of graceful unicylic graphs
A graph G admits a graceful labeling if there is a one-to-one map f from the set of vertices of G to such that when an edge xy is assigned the label the resulting set of edge labels is When such a labeling exists, G is called graceful. Rosa showed that a
Max Pambe Biatch’ +2 more
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On graphs with α- and b-edge consecutive edge magic labelings
Among the most studied graph labelings we have the varieties called alpha and edge-magic. Even when their definitions seem completely different, these labelings are related.
Christian Barrientos
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