Let G be a k-connected irregular graph with n vertices,m edges.Defined the matrix Aα(G)as Aα(G)=αD(G)+(1-α)A(G),0≤α≤1.Where D(G)and A(G)are degree diagonal matrix and adjacency matrix of G.In this paper,give an upper bound of the Aα spectral radius of the graph G in terms of maximum degree Δ and mini-mum degree δ,and also determine the upper bound of the Aα spectral radius of the subgraphs of k-connected Δ reg-ular graph.
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