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Gayathri, B., Amuthavalli, K. (2015). $k$-odd mean labeling of prism. Transactions on Combinatorics, 4(1), 49-56. doi: 10.22108/toc.2015.5388
B. Gayathri; K. Amuthavalli. "$k$-odd mean labeling of prism". Transactions on Combinatorics, 4, 1, 2015, 49-56. doi: 10.22108/toc.2015.5388
Gayathri, B., Amuthavalli, K. (2015). '$k$-odd mean labeling of prism', Transactions on Combinatorics, 4(1), pp. 49-56. doi: 10.22108/toc.2015.5388
Gayathri, B., Amuthavalli, K. $k$-odd mean labeling of prism. Transactions on Combinatorics, 2015; 4(1): 49-56. doi: 10.22108/toc.2015.5388

$k$-odd mean labeling of prism

Article 5, Volume 4, Issue 1, March 2015, Page 49-56  XML PDF (554 K)
Document Type: Research Paper
DOI: 10.22108/toc.2015.5388
Authors
B. Gayathri1; K. Amuthavalli 2
1Periyar E.V.R. College(Autonomous)
2Roever Engineering College
Abstract
‎A $(p,q)$ graph $G$ is said to have a $k$-odd mean‎ ‎labeling $(k \ge 1)$ if there exists an injection $f‎ : ‎V‎ ‎\to \{0‎, ‎1‎, ‎2‎, ‎\ldots‎, ‎2k‎ + ‎2q‎ - ‎3\}$ such that the‎ ‎induced map $f^*$ defined on $E$ by $f^*(uv) =‎ ‎\left\lceil \frac{f(u)+f(v)}{2}\right\rceil$ is a‎ ‎bijection from $E$ to $\{2k‎ - ‎1‎, ‎2k‎ + ‎1‎, ‎2k‎ + ‎3‎, ‎\ldots‎, ‎2‎ ‎k‎ + ‎2q‎ - ‎3\}$‎. ‎A  graph that admits $k$-odd mean‎ ‎labeling is called $k$-odd mean graph‎. ‎In this paper‎, ‎we investigate $k$-odd mean labeling of prism $C_m \times P_n$‎.
Keywords
k-odd mean labeling; k-odd mean graph; Prism
Main Subjects
05C38 Paths and cycles; 05C78 Graph labelling
References

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