A common generalization of line graphs and clique graphs

The thesis presents some characterizations for a graph to be a k-simplex graph. The first theorem gives a characterization of the existence of a simplex-edge cover, satisfying three properties, for a graph to be a k-simplex graph. The split graphs Hj , for some positive integers j will be classified...

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Main Author: Bernardo, Servando D., Jr.
Format: text
Language:English
Published: Animo Repository 2004
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Online Access:https://animorepository.dlsu.edu.ph/etd_masteral/3137
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Institution: De La Salle University
Language: English
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spelling oai:animorepository.dlsu.edu.ph:etd_masteral-99752022-02-04T01:56:03Z A common generalization of line graphs and clique graphs Bernardo, Servando D., Jr. The thesis presents some characterizations for a graph to be a k-simplex graph. The first theorem gives a characterization of the existence of a simplex-edge cover, satisfying three properties, for a graph to be a k-simplex graph. The split graphs Hj , for some positive integers j will be classified as k-simplex graph. The second part deals with the closure property of the k-simplex operator Dk. 2004-02-23T08:00:00Z text application/pdf https://animorepository.dlsu.edu.ph/etd_masteral/3137 https://animorepository.dlsu.edu.ph/context/etd_masteral/article/9975/viewcontent/CDTG003639_F_Redacted.pdf https://animorepository.dlsu.edu.ph/context/etd_masteral/article/9975/filename/0/type/additional/viewcontent/CDTG003639_F.pdf Master'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
Bernardo, Servando D., Jr.
A common generalization of line graphs and clique graphs
description The thesis presents some characterizations for a graph to be a k-simplex graph. The first theorem gives a characterization of the existence of a simplex-edge cover, satisfying three properties, for a graph to be a k-simplex graph. The split graphs Hj , for some positive integers j will be classified as k-simplex graph. The second part deals with the closure property of the k-simplex operator Dk.
format text
author Bernardo, Servando D., Jr.
author_facet Bernardo, Servando D., Jr.
author_sort Bernardo, Servando D., Jr.
title A common generalization of line graphs and clique graphs
title_short A common generalization of line graphs and clique graphs
title_full A common generalization of line graphs and clique graphs
title_fullStr A common generalization of line graphs and clique graphs
title_full_unstemmed A common generalization of line graphs and clique graphs
title_sort common generalization of line graphs and clique graphs
publisher Animo Repository
publishDate 2004
url https://animorepository.dlsu.edu.ph/etd_masteral/3137
https://animorepository.dlsu.edu.ph/context/etd_masteral/article/9975/viewcontent/CDTG003639_F_Redacted.pdf
https://animorepository.dlsu.edu.ph/context/etd_masteral/article/9975/filename/0/type/additional/viewcontent/CDTG003639_F.pdf
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