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Research Paper | Mathematics | India | Volume 6 Issue 2, February 2017
(k, d)-Super Root Square Mean Labeling
Abstract: Let G be a (p, q) graph and fV (G) {k, k+d, k+2d, , k+d ( p+q-1) } be an injection. For each edge e = uv, let f^* (e) = ( (f (u) ^2+f (v) ^2) /2) or ( (f (u) ^2+f (v) ^2) /2), then f is called ( k, d) -Super root square mean labeling if f (V) {f^* (e) eE (G) }={k, k+d, k+2d, , k+d ( p+q-1) }. A graph that admits a (k, d) -Super root square mean labeling is called (k, d) -Super root square mean graph. In this paper, we investigate ( k, d) -Super root square mean labeling of some path related graphs.
Keywords: Super root square mean labeling, Super root square mean graph, k-Super root square mean labeling, k-Super root square mean graph, k, d -Super root square mean labeling, k, d -Super root square mean graph, path, comb, ladder and triangular snake
Edition: Volume 6 Issue 2, February 2017,
Pages: 1608 - 1610