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

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 L., Morales, John Vincent S.
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Published: Animo Repository 2018
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Online Access:https://animorepository.dlsu.edu.ph/faculty_research/5939
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Institution: De La Salle University
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spelling oai:animorepository.dlsu.edu.ph:faculty_research-68792022-06-01T01:13:56Z On the asymptotic spectral distribution of Cartesian powers of line graphs of complete graph David, Monica Carlita G. Señires, Catherine L. 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/faculty_research/5939 Faculty Research Work Animo Repository Complete graphs 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
topic Complete graphs
Graph theory
Mathematics
spellingShingle Complete graphs
Graph theory
Mathematics
David, Monica Carlita G.
Señires, Catherine L.
Morales, John Vincent S.
On the asymptotic spectral distribution of Cartesian powers of line graphs of complete graph
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 L.
Morales, John Vincent S.
author_facet David, Monica Carlita G.
Señires, Catherine L.
Morales, John Vincent S.
author_sort David, Monica Carlita G.
title On the asymptotic spectral distribution of Cartesian powers of line graphs of complete graph
title_short On the asymptotic spectral distribution of Cartesian powers of line graphs of complete graph
title_full On the asymptotic spectral distribution of Cartesian powers of line graphs of complete graph
title_fullStr On the asymptotic spectral distribution of Cartesian powers of line graphs of complete graph
title_full_unstemmed On the asymptotic spectral distribution of Cartesian powers of line graphs of complete graph
title_sort on the asymptotic spectral distribution of cartesian powers of line graphs of complete graph
publisher Animo Repository
publishDate 2018
url https://animorepository.dlsu.edu.ph/faculty_research/5939
_version_ 1767196452901093376