ON SKEW LAPLACIAN SPECTRA AND SKEW LAPLACIAN ENERGY OF DIGRAPHS

被引：0

作者：

Ganie, Hilal ^{[1
]}

Chat, Bilal ^{[2
]}

Pirzada, S. ^{[1
]}

机构：

[1] Univ Kashmir, Dept Math, Srinagar, Jammu & Kashmir, India

[2] Cent Univ Kashmir, Dept Math, Srinagar, Jammu & Kashmir, India

来源：

KRAGUJEVAC JOURNAL OF MATHEMATICS | 2019年 / 43卷 / 01期

关键词：

Digraphs; skew Laplacian matrix; skew Laplacian spectrum; skew Laplacian energy; EIGENVALUES; GRAPH;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let D be a simple digraph with n vertices, m arcs having skew Laplacian eigenvalues nu(1), nu(2), ... , nu(n-1), nu(n) = 0. The skew Laplacian energy SLE(D) of a digraph D is defined as SLE(D) = Sigma(n)(i=1) vertical bar nu(i vertical bar). We obtain upper and lower bounds for SLE(D), which improves some previously known bounds. We also show that every even positive integer is indeed the skew Laplacian energy of some digraph.

引用

页码：87 / 98

页数：12

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