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

Authors

Monica Carlita G. David, De La Salle University, Manila
Catherine L. Señires, De La Salle University, Manila
John Vincent S. Morales, De La Salle University, Manila

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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Recommended Citation

David, M. G., Señires, C. L., & Morales, J. S. (2018). On the asymptotic spectral distribution of Cartesian powers of line graphs of complete graph. Retrieved from https://animorepository.dlsu.edu.ph/faculty_research/5939

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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