Embedding a Praeger-Xu graph into a surface

Rotary maps are highly symmetric graph embeddings on orientable surfaces, and their classification is a central problem in topological graph theory. In this talk, we solve this problem for the family of Praeger-Xu graphs  C(p,r,s). We provide a complete classification of all such embeddings for any odd prime p that does not divide  r. 

Everyone is welcome and encouraged to attend.