Speaker
Prof.
Young Soo Kwon
(Yeungnam University)
Description
In this talk, we classify reflexible edge-transitive
embeddings of complete bipartite graphs by partite set preserving automorphisms. As a by-product, we classify groups $\Gamma$ such that
{\rm (i)} $\Gamma=XY$ for some cyclic groups $X= \langle x \rangle$ and $Y=\langle y \rangle$ with $X \cap Y = \{ 1_{\Gamma} \}$ and {\rm (ii)} there
exists an automorphism of $\Gamma$ which sends $x$ and $y$ to $x^{-1}$ and $y^{-1}$, respectively.
Primary author
Prof.
Young Soo Kwon
(Yeungnam University)
Co-author
Prof.
Jin Ho Kwak
(Beijing Jiatong University)
