Optimum skew energy of a tournament

The skew spectrum and skew energy of an oriented graph are respectively the set of eigenvalues of the adjacency matrix of and the sum of the absolute values of the eigen values of the adjacency matrix of . In this work, we find and study the skew spectrum and the skew energy of Hadamard graph for a particular orientation.

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The Second Minimal Skew Energy of Oriented Bicyclic Digraphs

Advances in Applied Mathematics ◽

10.12677/aam.2015.42010 ◽

2015 ◽

Vol 04 (02) ◽

pp. 77-82

Author(s):

育博高

Keyword(s):

Skew Energy

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4-Regular oriented graphs with optimum skew energy

Linear Algebra and its Applications ◽

10.1016/j.laa.2013.08.001 ◽

2013 ◽

Vol 439 (10) ◽

pp. 2948-2960 ◽

Cited By ~ 13

Author(s):

Xiaolin Chen ◽

Xueliang Li ◽

Huishu Lian

Keyword(s):

Oriented Graphs ◽

Skew Energy

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Energy and skew-energy of a modified graph

Creative Mathematics and Informatics ◽

10.37193/cmi.2021.01.05 ◽

2021 ◽

Vol 30 (1) ◽

pp. 41-48

Author(s):

V. LOKESHA ◽

Y. SHANTHAKUMARI ◽

K. ZEBA YASMEEN

Keyword(s):

Complete Graph ◽

Scientific Community ◽

Undirected Graph ◽

Molecular Chemistry ◽

Graph Operations ◽

Skew Energy ◽

Direct Applicability

Graph energies draw the greater attention of the scientific community due to their direct applicability in molecular chemistry. In this paper, we establish the energy of a graph obtained by the means of some graph operations. The energy of the product of graph Kn × G, where Kn is a complete graph and G is a simple undirected graph and energy of the corresponding digraph are estimated. Further, the duplication graph DG is considered and proved that the energy E(DG) = 2E(G) and E(DGσ) = 2E(Gσ).

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