On average degree of power graphs

This thesis is an exposition of parts of the article entitled Average Degree in Graph Powers by Matt DeVos, Jessica McDonald, and Diego Scheide published online in Wiley Online Library. In this paper, the average degree of G3k+2 where k is a nonnegative integer was shown to be at least (2k + 1)(d +...

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Main Authors: Dario, Marice, Shin, Seungwon
Format: text
Language:English
Published: Animo Repository 2013
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Online Access:https://animorepository.dlsu.edu.ph/etd_bachelors/5588
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Institution: De La Salle University
Language: English
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spelling oai:animorepository.dlsu.edu.ph:etd_bachelors-60072021-04-30T03:18:10Z On average degree of power graphs Dario, Marice Shin, Seungwon This thesis is an exposition of parts of the article entitled Average Degree in Graph Powers by Matt DeVos, Jessica McDonald, and Diego Scheide published online in Wiley Online Library. In this paper, the average degree of G3k+2 where k is a nonnegative integer was shown to be at least (2k + 1)(d + 1) {u100000} k(k + 1)(d + 1)2 n {u100000}1. With this result, this paper uses k 2(mod 3) for powers of G. Moreover, this thesis provides detailed discussions of proofs of theorems and examples to further explain the said article. 2013-01-01T08:00:00Z text https://animorepository.dlsu.edu.ph/etd_bachelors/5588 Bachelor's Theses English Animo Repository Graph theory Mathematics
institution De La Salle University
building De La Salle University Library
continent Asia
country Philippines
Philippines
content_provider De La Salle University Library
collection DLSU Institutional Repository
language English
topic Graph theory
Mathematics
spellingShingle Graph theory
Mathematics
Dario, Marice
Shin, Seungwon
On average degree of power graphs
description This thesis is an exposition of parts of the article entitled Average Degree in Graph Powers by Matt DeVos, Jessica McDonald, and Diego Scheide published online in Wiley Online Library. In this paper, the average degree of G3k+2 where k is a nonnegative integer was shown to be at least (2k + 1)(d + 1) {u100000} k(k + 1)(d + 1)2 n {u100000}1. With this result, this paper uses k 2(mod 3) for powers of G. Moreover, this thesis provides detailed discussions of proofs of theorems and examples to further explain the said article.
format text
author Dario, Marice
Shin, Seungwon
author_facet Dario, Marice
Shin, Seungwon
author_sort Dario, Marice
title On average degree of power graphs
title_short On average degree of power graphs
title_full On average degree of power graphs
title_fullStr On average degree of power graphs
title_full_unstemmed On average degree of power graphs
title_sort on average degree of power graphs
publisher Animo Repository
publishDate 2013
url https://animorepository.dlsu.edu.ph/etd_bachelors/5588
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