On the asymptotic spectral distribution of Cartesian powers of line graphs of complete graphs

Let Gn d denote the dth Cartesian power of the line graph of a complete graph on n vertices, where n,d 2 N. In this paper, we describe the asymptotic spectral distribution of the sequence fGn d j n d 2 Ng as n,d ! 1. We use the method by Hora in 1998 to prove our results.

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Main Authors: David, Monica Carlita G., Señires, Catherine, Morales, John Vincent S.
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Language:English
Published: Animo Repository 2018
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Online Access:https://animorepository.dlsu.edu.ph/etd_bachelors/18564
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Institution: De La Salle University
Language: English
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spelling oai:animorepository.dlsu.edu.ph:etd_bachelors-190772022-02-11T05:43:02Z On the asymptotic spectral distribution of Cartesian powers of line graphs of complete graphs David, Monica Carlita G. Señires, Catherine Morales, John Vincent S. Let Gn d denote the dth Cartesian power of the line graph of a complete graph on n vertices, where n,d 2 N. In this paper, we describe the asymptotic spectral distribution of the sequence fGn d j n d 2 Ng as n,d ! 1. We use the method by Hora in 1998 to prove our results. 2018-01-01T08:00:00Z text https://animorepository.dlsu.edu.ph/etd_bachelors/18564 Bachelor's Theses English Animo Repository 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 Mathematics
spellingShingle Mathematics
David, Monica Carlita G.
Señires, Catherine
Morales, John Vincent S.
On the asymptotic spectral distribution of Cartesian powers of line graphs of complete graphs
description Let Gn d denote the dth Cartesian power of the line graph of a complete graph on n vertices, where n,d 2 N. In this paper, we describe the asymptotic spectral distribution of the sequence fGn d j n d 2 Ng as n,d ! 1. We use the method by Hora in 1998 to prove our results.
format text
author David, Monica Carlita G.
Señires, Catherine
Morales, John Vincent S.
author_facet David, Monica Carlita G.
Señires, Catherine
Morales, John Vincent S.
author_sort David, Monica Carlita G.
title On the asymptotic spectral distribution of Cartesian powers of line graphs of complete graphs
title_short On the asymptotic spectral distribution of Cartesian powers of line graphs of complete graphs
title_full On the asymptotic spectral distribution of Cartesian powers of line graphs of complete graphs
title_fullStr On the asymptotic spectral distribution of Cartesian powers of line graphs of complete graphs
title_full_unstemmed On the asymptotic spectral distribution of Cartesian powers of line graphs of complete graphs
title_sort on the asymptotic spectral distribution of cartesian powers of line graphs of complete graphs
publisher Animo Repository
publishDate 2018
url https://animorepository.dlsu.edu.ph/etd_bachelors/18564
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