SKOLEM DIFFERENCE LUCAS MEAN LABELLING FOR SOME SPECIAL GRAPHS
Journal Title: Bulletin of Pure and Applied Sciences Sec. E - Mathematics and Statistics - Year 2018, Vol 37, Issue 2
Abstract
A graph G with p vertices and q edges is said to have Skolem difference Lucas mean labelling if it is possible to label the vertices x∈v with distinct elements f(x) from the set {1,2,…,L_(p+q) } in such a way that the edge e=uv is labelled with |(f(u)-f(v))/2| if |f(u)-f(v)| is even and (|f(u)-f(v|+1)/2 if |f(u)-f(v)| is odd, then the resulting edge labels are distinct and are from {L_1,L_2,…,L_q }. A graph that admits Skolem difference Lucas mean labelling is called a Skolem difference Lucas mean graph. In this paper, we prove for some graphs such as triangular snake graph 〖TS〗_n , The triangular snake C_2 (P_n) , Umbrella U(m,n), F_m⊕K_(1,n)^+ 〖 , F〗_n^((t)), F_n^+ are Skolem difference Lucas mean graph.
Authors and Affiliations
A. Ponmoni
Keywords
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