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Authors
Affiliations
1 Department of Mathematics, Vellalar College for Women, Erode – 638 012, Tamil Nadu, IN
Source
ScieXplore: International Journal of Research in Science, Vol 6, No 2 (2019), Pagination: 61-69
Abstract
The oblong numbers are in the form n(n+1), where n = 1,2, . . . . i.e., the oblong numbers are 2, 6, 12, . . . . If the vertices of the given graph G are labeled with oblong numbers and the edges of the graph are labeled with mean of the labels at the end vertices then G is said to have Oblong Mean Prime Labeling (OMPL). Similarly, if the vertices of G are labeled with oblong numbers and the edges of the graphs are labeled with mean of the absolute difference of the labels at the end vertices then G is said to have Oblong Difference Mean Prime Labeling (ODMPL). In this paper, the Oblong Mean Prime Labeling and Oblong Difference Mean Prime Labeling of Complete Graphs (CGs) Kn, n≥3 and Complete Multipartite Graphs (CMGs), K n n n n i 1 2 t 1 , , , , where 1i t ≤ ≤ have been investigated and obtained the results for such graphs.
Keywords
Complete Graphs (CGs) and Complete Multipartite Graphs (CMGs), Oblong Difference Mean Prime Labeling(ODMPL), Oblong Mean Prime Labeling (OMPL)
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References
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