Geodesic
Remarks on the sum of powers of normalized signless Laplacian eigenvalues of graphs
Filomat, Tome 37 (2023) no. 28, p. 9487

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DOI

Let G = (V, E), V = {v1, v2, . . . , vn}, be a simple connected graph of order n and size m. Denote by γ+1 ≥ γ+2 ≥ · · · ≥ γ+n ≥ 0 the normalized signless Laplacian eigenvalues of G, and by σα(G) the sum of α-th powers of the normalized signless Laplacian eigenvalues of a connected graph. The paper deals with bounds of σα. Some special cases, when α = 12 and α = −1, are also considered.
DOI : 10.2298/FIL2328487B
Classification : 15A18, 05C50 
Şerife Burcu Bozkurt Altındağ; Igor Milovanović; Emina Milovanović; Marjan Matejić. Remarks on the sum of powers of normalized signless Laplacian eigenvalues of graphs. Filomat, Tome 37 (2023) no. 28, p. 9487 . doi: 10.2298/FIL2328487B
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     title = {Remarks on the sum of powers of normalized signless {Laplacian} eigenvalues of graphs},
     journal = {Filomat},
     pages = {9487 },
     year = {2023},
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     number = {28},
     doi = {10.2298/FIL2328487B},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2328487B/}
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