On the skew energy of a digraph

Date of Publication

2016

Document Type

Bachelor's Thesis

Degree Name

Bachelor of Science in Mathematics

Subject Categories

Mathematics

College

College of Science

Department/Unit

Mathematics and Statistics

Thesis Adviser

Yvette F. Lim

Abstract/Summary

This study is an exposition of some of the results from the second section of the paper entitled The Skew Energy of a Digraph by Adiga, Balakrishnan and So [1] which appeared in the Elsevier Journal: Linear Algebra and Its Applications in the year 2010. In this study, we discuss in detail, proofs regarding the eigenvalues, the characteristic polynomial, how to determine the values of its coe cients, i ts skew adjacency matrix and finally, the skew energy of a digraph. We have also expounded the proof for the upper and lower bound of the skew energy of a digraph.

Abstract Format

html

Language

English

Format

Electronic

Accession Number

CDTU021101

Shelf Location

Archives, The Learning Commons, 12F, Henry Sy Sr. Hall

Keywords

Graph theory; Algebras, Linear; Directed graphs

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