The Mean Labeling of Some Crowns
Journal of Algorithms and Computation • 2014
Publication Information
Authors
M.E. Abdel-Aal, S Minion, C Barrientos, D Williams
Keywords
Not Available
Journal
Journal of Algorithms and Computation
Publisher
Not Available
Volume
Not Available
Issue
Not Available
Pages
12
publication.type
Local
Paper Link
Open Link
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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