05613303

j

05613303 Vaidya, S.K. Dani, N.A. Kanani, K.K. Vihol, P.L. Some wheel related 3-equitable graphs in the context of vertex duplication. Adv. Appl. Discrete Math. 4, No. 1, 71-85 (2009). 2009 Pushpa Publishing House, Allahabad, Uttar Pradesh, India EN 3-equitable labeling duplication

http://pphmj.com/abstract/4225.htm

Summary: In the present investigations, we prove that the graph obtained by duplication of arbitrary rim vertex of wheel $W_n$ and duplication of apex vertex of wheel $W_n$ for even $n$ is 3-equitable and not 3-equitable for odd $n$, where $n\geq 5$. In addition to this we prove that duplication of vertices of wheel $W_n$ altogether is 3-equitable except $n=5$.