Digraph groups corresponding to digrahs with one more vertex than arcs

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Atıf İçin Kopyala

Cihan M. S.

Avrupa Bilim ve Teknoloji Dergisi, sa.41, ss.31-35, 2022 (Hakemli Dergi)

• Yayın Türü: Makale / Tam Makale
• Basım Tarihi: 2022
• Doi Numarası: 10.31590/ejosat.1189983
• Dergi Adı: Avrupa Bilim ve Teknoloji Dergisi
• Derginin Tarandığı İndeksler: TR DİZİN (ULAKBİM)
• Sayfa Sayıları: ss.31-35
• Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

Cuno & Williams [1] examined digraph groups 𝐺Γ(𝑅) in which the undirected graph is triangle free and |𝑉(𝛤)| = |𝐴(𝛤)| (the number of generators and realtors are equal). Cuno & Williams showed there are 6 cases to consider, and Cuno & Williams demonstrated that the corresponding group 𝐺Γ(𝑅) is either infinite or finite cyclic in most cases. In this paper, we investigate the case | 𝑉(𝛤) | = |𝐴 (𝛤)| −1, which is next step, and we prove that there are 35 cases to consider.