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

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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Bibliographic Details
Main Authors: David, Monica Carlita G., Señires, Catherine L., Morales, John Vincent S.
Format: text
Published: Animo Repository 2018
Subjects:
Complete graphs
Graph theory
Mathematics
Online Access:https://animorepository.dlsu.edu.ph/faculty_research/5939
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Institution: De La Salle University
Description
Summary: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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