Speaker
Prof.
Yan-Quan Feng
(Beijing Jiaotong University)
Description
A graph is symmetric if its automorphism group acts transitively on ordered adjacent pairs of vertices of the graph. Let $p$ be a prime and let $n\geq 2$ be a positive integer. In this talk, symmetric $\mz_p^n$-covers of the dipole $\Dip_5$ (the graph with two vertices connected by five multiple edges) are classified and their full automorphism groups are determined. Among others, connected pentavalent symmetric graphs of order $2p^2$ and $2p^3$ are classified.
This is a joint work with Yan-Tao Li, Da-Wei Yang and Jin-Xin Zhou.
Primary author
Prof.
Yan-Quan Feng
(Beijing Jiaotong University)
