International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
Call for Papers | Fully Refereed | Open Access | Double Blind Peer Reviewed

ISSN: 2319-7064

k-Super Mean Labeling of Some Graphs

Dr. M. Tamilselvi, K. Akilandeswari, V. Suguna

Abstract: Let G be a (p, q) graph and fV (G) {1, 2, 3, , p+q} be an injection. For each edge e = uv, let f^* (e) = (f (u) +f (v)) /2 if f (u) +f (v) is even and f^* (e) = (f (u) +f (v) +1) /2 if f (u) +f (v) is odd, then f is called super mean labeling if f (V) {f^* (e) eE (G) }={1, 2, 3, , p+q}. A graph that admits a super mean labeling is called Super mean graph. Let G be a (p, q) graph and fV (G) {k, k+1, k+2, , p+q+k-1} be an injection. For each edge e = uv, let f^* (e) = (f (u) +f (v)) /2 if f (u) +f (v) is even and f^* (e) = (f (u) +f (v) +1) /2 if f (u) +f (v) is odd, then f is called k- super mean labeling if f (V) {f^* (e) eE (G) }={k, k+1,. . , p+q+k-1}. A graph that admits a k-super mean labeling is called k-Super mean graph. In this paper we investigate k super mean labeling of, S (B_ (n, n)), and T_nK_1.

Keywords: Super mean labeling, Super mean graph, kSuper mean labeling, kSuper mean graph, Bistar graphs, T_nK_1

How to Cite?: Dr. M. Tamilselvi, K. Akilandeswari, V. Suguna, "k-Super Mean Labeling of Some Graphs", Volume 5 Issue 6, June 2016, International Journal of Science and Research (IJSR), Pages: 2310-2312, https://www.ijsr.net/getabstract.php?paperid=NOV164768, DOI: https://dx.doi.org/10.21275/NOV164768

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