Geodesic
A note on the spectrum of the folded hypercube
Seyed Morteza Mirafzal1 ; Seyed Morteza Mirafzal
1Department of Mathematics, Lorestan University, Khorramabad, Iran
Acta mathematica Universitatis Comenianae, Tome 92 (2023) no. 4, pp. 281-286 
Seyed Morteza Mirafzal; Seyed Morteza Mirafzal. A note on the spectrum of the folded hypercube. Acta mathematica Universitatis Comenianae, Tome 92 (2023) no. 4, pp. 281-286. http://geodesic.mathdoc.fr/item/AMUC_2023_92_4_a0/
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     title = { A note on the spectrum of the folded hypercube},
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Voir la notice de l'article provenant de la source Comenius University

The folded hypercube $FQ_n$ is the Cayley graph $Cay(\mathbb{Z}_2^n,S)$, where $S=\{e_1,e_2,\dots, e_n\} \cup\{u=e_1+e_2+\dots+e_n\}$, $e_i = (0,\dots, 0, 1, 0,\dots, 0)$, with $1$ at the $i$th position, $1\leq i \leq n$. In this paper, the spectrum of this graph is determined by an elementary and self contained method. Then, some properties of this graph are studied.