More on the bounds for the skew Laplacian energy of weighted digraphs

被引：0

作者：

Chat, Bilal A. ^{[1
]}

Samee, U. ^{[2
]}

Pirzada, S. ^{[3
]}

机构：

[1] Islamic Univ Sci & Technol Kashmir, Dept Math Sci, Awantipora, India

[2] Univ Kashmir, Inst Technol, Srinagar, Kashmir, India

[3] Univ Kashmir, Dept Math, Srinagar, India

来源：

COMMUNICATIONS IN COMBINATORICS AND OPTIMIZATION | 2023年 / 8卷 / 02期

关键词：

Weighted digraph; skew Laplacian matrix of weighted digraphs; skew Laplacian energy of weighted digraphs; SPECTRAL-RADIUS;

D O I：

10.22049/CCO.2022.27357.1244

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let D be a simple connected digraph with n vertices and m arcs and let W(D) = (D;w) be the weighted digraph corresponding to D, where the weights are taken from the set of non-zero real numbers. Let nu(1), nu(2), center dot center dot center dot,nu(n) be the eigenvalues of the skew Laplacian weighted matrix (SL) over tildeW(D) of the weighted digraph W(D). In this paper, we discuss the skew Laplacian energy (SLE) over tildeW(D) of weighted digraphs and obtain the skew Laplacian energy of the weighted star W(K-1,n) for some fixed orientation to the weighted arcs. We obtain lower and upper bounds for (SLE) over tildeW(D) and show the existence of weighted digraphs attaining these bounds.

引用

页码：379 / 390

页数：12