• M K Hosseinipoor

Articles written in Proceedings – Mathematical Sciences

• Classifying Cubic Edge-Transitive Graphs of Order $8p$

A simple undirected graph is said to be semisymmetric if it is regular and edge-transitive but not vertex-transitive. Let 𝑝 be a prime. It was shown by Folkman (J. Combin. Theory 3(1967) 215--232) that a regular edge-transitive graph of order $2p$ or $2p^2$ is necessarily vertex-transitive. In this paper, an extension of his result in the case of cubic graphs is given. It is proved that, every cubic edge-transitive graph of order $8p$ is symmetric, and then all such graphs are classified.

• A Classification of Cubic Symmetric Graphs of Order $16p^2$

A graph is called symmetric if its automorphism group acts transitively on its arc set. In this paper, we classify all connected cubic symmetric graphs of order $16p^2$ for each prime 𝑝.

• # Proceedings – Mathematical Sciences

Current Issue
Volume 129 | Issue 3
June 2019