On the general ‎ABC-spectral radius and ABC-energy of a graph

Let G be a simple graph with vertex set {v۱, v۲,…, vn} where di denotes the degree of vi. For every real number α, the generalized ABC-matrix of G, denoted by Ωα=[ωαij] is an n×n matrix such that ωαij=((di + dj - ۲)/didj)α if vivj is an edge and ωαij=۰, otherwise. In this paper, some bounds for the spectral radius of Ωα are found. Among other results, some bounds for the generalized ABC-energy are determined in terms of generalized ABC-index and general Randić index.

کلیدواژه ها:

General ABC-index ، ABC-energy ، Spectral radius‎