Integral cayley graphs over semi-dihedral groups

نویسندگان

چکیده

Classifying integral graphs is a hard problem that initiated by Harary and Schwenk in 1974. In this paper, with the help of character table, we treat corresponding for Cayley over semi-dihedral group SD8n = ?a,b | a4n b2 1; bab a2n-1?, n ? 2. We present several necessary sufficient conditions integrality SD8n, also obtain some simple terms Boolean algebra hai. particular, give groups SD2n (n?4) SD8p prime p, from which determine infinite classes SD8p.

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ژورنال

عنوان ژورنال: Applicable Analysis and Discrete Mathematics

سال: 2021

ISSN: ['1452-8630', '2406-100X']

DOI: https://doi.org/10.2298/aadm190330001c