The general connectivity indices of fluoranthene-type benzenoid systems.

The general connectivity index R α ( G ) of a graph G = ( V , E ) is defined as R α ( G ) = ∑ ( u , v ) ∈ E ( G ) ( d u d v ) α , where ( u, v ) is an edge of G, d u and d v denote the degrees of the vertices u and v , respectively, and α ≠ 0 is an arbitrary real number. In this paper, we give the expressions for computing the general connectivity indices of fluoranthene-type benzenoid systems, and we determine the extremal values of R α ( G ) in f-benzenoid systems with h hexagons for some real number α . Especially, the extremal values of R α ( G ) in cata-catacondensed fluoranthene-type benzenoid systems with h hexagons were studied. [ABSTRACT FROM AUTHOR]