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A graph G with m vertices and n edges, is said to be prime graceful labeling, if there is an injection from the vertices of G to {1, 2, ..., k} where k = min {2m, 2n} such that gcd ( ( ), ( )=1 and the induced injective function from the edges of G to {1, 2, ..., k − 1} defined by ( ) = | ( ) − ( ) | , the resulting edge labels are distinct. In
T. Hameed Hassan, R. Mohammad Abbas
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Review of Post-embedding Immunogold Methods for the Study of Neuronal Structures
The post-embedding immunogold (PI) technique for immunolabeling of neuronal tissues utilizing standard thin-section transmission electron microscopy (TEM) continues to be a prime method for understanding the functional localization of key proteins in ...
Ronald S. Petralia, Ya-Xian Wang
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Some Prime Labeling Results of H-Class Graphs [PDF]
Prime labeling originated with Entringer and was introduced by Tout, Dabboucy and Howalla. A Graph G(V,E) is said to have a prime labeling if its vertices are labeled with distinct integers 1, 2, 3, · · · , |V (G)| such that for each edge xy the labels ...
A.Nagarajan +3 more
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Biological data annotation via a human-augmenting AI-based labeling system
Biology has become a prime area for the deployment of deep learning and artificial intelligence (AI), enabled largely by the massive data sets that the field can generate. Key to most AI tasks is the availability of a sufficiently large, labeled data set
Douwe van der Wal +13 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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Prime labelings on a 3xn grid graph
It is conjectured that the mxn grid graph has a prime labeling for all positive integers m and n. It is known that for any prime p and any integer n such that 1≤n≤p2, there exists a prime labeling on the pxn grid graph Pm x Pn. Also, it is known that the
Stephen J. Curran, Matt A. Ollis
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Certain Results on Prime and Prime Distance Labeling of Graphs
Abstract Let G be a graph on n vertices. A bijective function f : V (G) → {1, 2,…,n} is said to be a prime labeling if for every e = xy, GCD{f (x),f (y)} = 1. A graph which permits a prime labeling is a “prime graph”. On the other hand, a graph G is a prime distance graph if there is an injective function g : V(G) → Z (the set of all ...
A. Parthiban, Ajaz Ahmad Pir, A. Felix
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In this paper we introduce neighborhood-prime labeling and investigate neighborhoodprime labelings for paths, cycles, helm, closed helm and flower. Also we establish a sufficient condition for a graph to admit neighborhood-prime labeling.
N. N. Shrimali, S. K. Patel
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On a Question of Prime Labeling of Graphs
In the field of graph theory, the complete graph of vertices is a simple undirected graph such that every pair of distinct vertices is connected by a unique edge. In the present work, we introduce planar subgraph of with maximal number of edges . Generally, does not admit prime labeling. We present an algorithm to obtain prime-labeled subgraphs of
P. G. R. S. Ranasinghe +1 more
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Structural and biochemical characterisations show that the planar cell polarity (PCP) protein Inturned harbours a unique PDZ‐like domain that does not bind canonical PDZ‐binding motifs (PBMs) like that of another PCP protein Vangl2. In contrast, the apical‐basal polarity protein Scribble contains four PDZ domains that bind Vangl2, but one PDZ domain ...
Stephan Wilmes +4 more
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