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 E N. In this paper, we describe the asymptotic spectral distribution of the sequence {Gn,d | n d E N} as n,d -- oo. We use the method by Hora in 1998 to prove our results.

Saved in:
Bibliographic Details
Main Authors: David, Monica Carlita G., Señires, Catherine L., Morales, John Vincent S.
Format: text
Published: Animo Repository 2018
Subjects:
Online Access:https://animorepository.dlsu.edu.ph/faculty_research/9170
Tags: Add Tag
No Tags, Be the first to tag this record!
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 E N. In this paper, we describe the asymptotic spectral distribution of the sequence {Gn,d | n d E N} as n,d -- oo. We use the method by Hora in 1998 to prove our results.