Abstract
Let and be two simple graphs. Denote the corona and the edge corona of and by and , respectively. In this paper, first, the normalized Laplacian spectrum of is given in terms of that of and when both and are regular. Then the normalized Laplacian spectrum of is given in terms of that of and for any connected graph and a regular graph . Finally, as applications, the number of spanning trees and the degree Kirchhoff index of and are considered.
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