Some degree-based connectivity indices of tadpole graph

Abstract

Zagreb indices (thought this paper we denote ZbI) a well-known concept introduced in 1972 by I.Gutman and N.Trinajstic denoted as M1(G)mathematically to study chemical compounds at molecular level. The first two hyper-ZbI of G denoted HM1(G) and HM2(G) are well established. In this paper we determine the first ZbI and second ZbI and their polynomial for the Tadpole graph.