Title

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

College

College of Science

Department/Unit

Mathematics and Statistics Department

Document Type

Archival Material/Manuscript

Publication Date

2018

Abstract

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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Disciplines

Mathematics

Note

Presented at the 11th International Conference on Mathematics and Mathematics Education in Developing Countries, held on November 2-4, 2018 at the National University of Laos, Vientiane Capital, Lao PDR

Keywords

Complete graphs; Graph theory

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