A Formula for the Energy of Circulant Graphs with Two Generators

We derive closed formulas for the energy of circulant graphs generated by 1 and γ, where γ⩾2 is an integer. We also find a formula for the energy of the complete graph without a Hamilton cycle.

Bibliographic Details
Main Author: Justine Louis
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2016/1793978
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spelling doaj-d1dbefae98854cb589e020d980449fc12020-11-24T22:54:20ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422016-01-01201610.1155/2016/17939781793978A Formula for the Energy of Circulant Graphs with Two GeneratorsJustine Louis0Section de Mathématiques, Université de Genève, 1211 Geneva, SwitzerlandWe derive closed formulas for the energy of circulant graphs generated by 1 and γ, where γ⩾2 is an integer. We also find a formula for the energy of the complete graph without a Hamilton cycle.http://dx.doi.org/10.1155/2016/1793978
collection DOAJ
language English
format Article
sources DOAJ
author Justine Louis
spellingShingle Justine Louis
A Formula for the Energy of Circulant Graphs with Two Generators
Journal of Applied Mathematics
author_facet Justine Louis
author_sort Justine Louis
title A Formula for the Energy of Circulant Graphs with Two Generators
title_short A Formula for the Energy of Circulant Graphs with Two Generators
title_full A Formula for the Energy of Circulant Graphs with Two Generators
title_fullStr A Formula for the Energy of Circulant Graphs with Two Generators
title_full_unstemmed A Formula for the Energy of Circulant Graphs with Two Generators
title_sort formula for the energy of circulant graphs with two generators
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2016-01-01
description We derive closed formulas for the energy of circulant graphs generated by 1 and γ, where γ⩾2 is an integer. We also find a formula for the energy of the complete graph without a Hamilton cycle.
url http://dx.doi.org/10.1155/2016/1793978
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