Remarks on the sum of powers of normalized signless Laplacian eigenvalues of graphs

被引：0

作者：

Altindag, Serife Burcu Bozkurt ^{[1
]}

Milovanovic, Igor ^{[2
]}

Milovanovic, Emina ^{[2
]}

Matejic, Marjan ^{[2
]}

机构：

[1] Selcuk Univ, Fac Sci, Konya, Turkiye

[2] Univ Nis, Fac Elect Engn, Nish, Serbia

来源：

FILOMAT | 2023年 / 37卷 / 28期

关键词：

normalized signless Laplacian eigenvalues; Laplacian incidence energy; Randic incidence energy; INCIDENCE ENERGY; RESISTANCE-DISTANCE; BOUNDS;

D O I：

10.2298/FIL2328487B

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let G = (V, (sic)), V = {v(1), v(2),..., v(n)}, be a simple connected graph of order n and size m. Denote by gamma(+)(1) >= gamma(+)(2) >= center dot center dot center dot >= gamma(+)(n) >= 0 the normalized signless Laplacian eigenvalues of G, and by sigma(alpha)(G) the sum of alpha-th powers of the normalized signless Laplacian eigenvalues of a connected graph. The paper deals with bounds of sigma(alpha). Some special cases, when alpha = 1/2 and alpha = -1, are also considered.

引用

页码：9487 / 9496

页数：10

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