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k-Odd mean labeling of prism
oleh: B. Gayathri, K. Amuthavalli
Format: | Article |
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Diterbitkan: | University of Isfahan 2015-03-01 |
Deskripsi
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 $f^*(uv) = leftlceil frac{f(u)+f(v)}{2}rightrceil$ 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 $C_m times P_n$.