On oriented graphs with minimal skew energy

Gong, Shi-Cai; Li, Xueliang; Xu, Guanghan

doi:10.13001/1081-3810.1961

Search citation statements

Order By: Relevance

Paper Sections

Select...

Skew Characteristic Polynomials Of Oriented Graphs1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2015

2019

Publication Types

Select...

Article4

Other1

Relationship

Self Cite1

Independent4

Authors

Journals

Cited by 5 publications

(1 citation statement)

References 26 publications

(27 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Gong, Li and Xu [26] proved that all the coefficients of skew characteristic polynomials are nonnegative.…”

Section: Skew Characteristic Polynomials Of Oriented Graphsmentioning

confidence: 99%

A survey on the skew energy of oriented graphs

Li,

Lian

2013

Preprint

Self Cite

View full text Add to dashboard Cite

Let G be a simple undirected graph with adjacency matrix A(G). The energy of G is defined as the sum of absolute values of all eigenvalues of A(G), which was introduced by Gutman in 1970s. Since graph energy has important chemical applications, it causes great concern and has many generalizations. The skew energy and skew energy-like are the generalizations in oriented graphs. Let G σ be an oriented graph of G with skew adjacency matrix S(G σ ). The skew energy of G σ , denoted by ES(G σ ), is defined as the sum of the norms of all eigenvalues of S(G σ ), which was introduced by Adiga, Balakrishnan and So in 2010. In this paper, we summarize main results on the skew energy of oriented graphs. Some open problems are proposed for further study. Besides, results on the skew energy-like: the skew Laplacian energy and skew Randić energy are also surveyed at the end.

show abstract

“…Gong, Li and Xu [26] proved that all the coefficients of skew characteristic polynomials are nonnegative.…”

Section: Skew Characteristic Polynomials Of Oriented Graphsmentioning

confidence: 99%