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Dr. Mohamed elsayed abd el-aal :: Publications:

Title:
The Mean Labeling of Some Crowns
Authors: M.E. Abdel-Aal, S Minion, C Barrientos, D Williams
Year: 2014
Keywords: Not Available
Journal: Journal of Algorithms and Computation
Volume: Not Available
Issue: Not Available
Pages: 12
Publisher: Not Available
Local/International: Local
Paper Link:
Full paper Mohamed elsayed abd el-aal_The Mean Labeling of Some Crowns.pdf
Supplementary materials Not Available
Abstract:

Mean labelings are a type of additive vertex labeling. This labeling assigns non-negative integers to the vertices of a graph in such a way that all edge-weights are different, where the weight of an edge is defined as the mean of the end-vertex labels rounded up to the nearest integer. In this paper we focus on mean labelings of some graphs that are the result of the corona operation. In particular we prove the existence of mean labelings for graphs of the form G ⊙ mK1 in the cases where G is an even cycle or G is an α-mean graph of odd size and the cardinalities of its stable sets differ by at most one unit. Under these conditions, we prove that G ⊙ P2 and G ⊙ P3 are also mean graphs, and that the class of α-graphs is equivalent to the class of α-mean graphs.

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