Maden, A. DilekCevik, A. Sinan2020-03-262020-03-2620131537-95821081-3810https://hdl.handle.net/20.500.12395/29626It is known that, for a simple graph G and a real number alpha, the quantity s(alpha)'(G) is defined as the sum of the alpha-th power of non-zero singless Laplacian eigenvalues of G. In this paper, first some majorization bounds over s(alpha)'(G) are presented in terms of the degree sequences, and number of vertices and edges of G. Additionally, a connection between s(alpha)'(G) and the first Zagreb index, in which the Holder's inequality plays a key role, is established. In the last part of the paper, some bounds (included Nordhauss-Gaddum type) for signless Laplacian Estrada index are presented.eninfo:eu-repo/semantics/closedAccessSignless Laplacian matrixSignless Laplacian-Estrada index(First) Zagreb indexMajorizationStrictly Schur-convexArticle26781794Q2WOS:000328078400003Q3