SCHULTZ POLYNOMIALS AND THEIR TOPOLOGICAL INDICES OF SUSPENSION GRAPHS
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Abstract
Let G = (V, E) be a simple connected graph. The degree of a
vertex u and the distance between the vertices u and v are denoted
by du and d(u; v) of a graph G respectively. The Schultz and modied
Schultz polynomials are Sc(G, x) = ∑ (u,v) ε V(G)(du + dv) Xd(u, v) and
Sc*(G, x) =∑ (u,v) ε V(G)(du dv) Xd(u, v) respectively. Then their first
derivative at x = 1 are equal to Sc(G) = ∑ (u,v) ε V(G)(du + dv) d(u, v)
and Sc*(G) = ∑ (u,v) ε V(G)(du dv) d(u, v) are known as Schultz index
and modified Schultz index respectively. In this paper, we compute
the Schultz and modified Schultz polynomials and their indices for the
suspension graphs K1+Kn Ɐ n ε N, K1+Kn, n Ɐ n ε N, K1+Kn, m  Ɐ n, m ε N, n ≠mÂ
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