Spectral analysis of the wreath product of a complete graph with a cocktail party graph

Authors

DOI:

https://doi.org/10.1478/AAPP.96S2A1

Keywords:

Wreath Product of Graphs, Complete Graph, Cocktail Party Graph, Adjacency Matrix, Spectrum

Abstract

Graph products and the corresponding spectra are often studied in the literature. A special attention has been given to the wreath product of two graphs, which is derived from the homonymous product of groups. Despite a general formula for the spectrum is also known, such a formula is far from giving an explicit spectrum of the compound graph. Here, we consider the latter product of a complete graph with a cocktail party graph, and by making use of the theory of circulant matrices we give a direct way to compute the (adjacency) eigenvalues.

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Published

2018-11-20

Issue

Vol 96, SUPPL NO 2 (2018): HyGraDe 2017

Section

HyGraDe 2017 (Conference Proceedings)

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