On application of linear algebra in classification cubic s-regular graphs of order 28p

• Published in: Algebra and Discrete Mathematics
• Date: 2018
• ISSN: 1726-3255
• Main Authors: Imani, A., Mehdipoor, N., Talebi, A.A.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/188348
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On application of linear algebra in classification cubic s-regular graphs of order 28p / A. Imani, N. Mehdipoor, A.A. Talebi // Algebra and Discrete Mathematics. — 2018. — Vol. 25, № 1. — С. 56-72. — Бібліогр.: 24 назв. — англ.

A graph is s-regular if its automorphism group acts regularly on the set of s-arcs. In this paper, by applying concept linear algebra, we classify the connected cubic s-regular graphs of order 28p for each s ≥ 1, and prime p.