Constructing directed strongly regular graphs by using semidirect products and semidihedral groups

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Atıf İçin Kopyala

Piri S., ÖLMEZ O., ŞAHİN M.

Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, cilt.72, sa.1, ss.22-31, 2023 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 72 Sayı: 1
• Basım Tarihi: 2023
• Doi Numarası: 10.31801/cfsuasmas.1062880
• Dergi Adı: Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
• Sayfa Sayıları: ss.22-31
• Anahtar Kelimeler: Directed strongly regular graphs, semidirect products, semidihedral groups, Cayley graphs
• Ankara Üniversitesi Adresli: Evet

Özet

In this paper, directed strongly regular graphs (DSRGs) are constructed by using semidirect products. The orbit condition in [3] has been weakened and this gives rise to the construction of DSRGs. Moreover, a different construction is given for DSRG by using semidihedral groups.