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

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 G_n,d denote the d^th 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 {G^n,d | n d E N} as n,d -- oo. 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 graphs. Retrieved from https://animorepository.dlsu.edu.ph/faculty_research/9170

Disciplines

Mathematics

Keywords

Complete graphs; Graph theory

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