On Some Topological, Reciprocal Indices and Polynomials of Line Graph of Dutch Windmill Graph

N. K. Raut

Abstract: First Zagreb polynomial, first multiplicative Zagreb index and reciprocal first Zagreb index of a graph G with vertex set V(G) and edge set E(G) are defined as M1(G,x) = ?_(uv?E(G) )?x^(d_u+ d_v) , M1II(G) = ?_(uv?E(G) ) d_u? d_v and RM1(G) = ?_(uv?E(G) )?(1 )/(d_u+ d_v ) respectively [1-3]. In this paper fifth versions of (M1, M2, M3, hyper M1, hyper M2)-Zagreb polynomials and multiplicative (M1, M2, hyper M1, hyper M2)-Zagreb indices and reciprocal (M1, M2, hyper M1, hyper M2)-Zagreb indices are investigated for line graph of Dutch windmill graph.

Keywords: Degree, Dutch windmill graph, fifth Zagreb index, line graph, multiplicative index, reciprocal index, sum degree