a graph that contains a hamiltonian cycle is called a hamiltonian graph. in this paper wecompute the first and the second geometric – arithmetic indices of hamiltonian graphs. thenwe apply our results to obtain some bounds for fullerene.

A central limit theorem and a moderate deviations principle for the ratio of geometric p-generalized arithmetic mean are shown. Also Berry–Esseen-type upper bound on rate convergence in is proved. This has implications probabilistic version question whether inequality between can be reversed or improved up to multiplicative constants. The involved random vectors we study belong class distributi...