Stability of Circulant Graphs
                    
                  
                  
                  
                    报告人:Binzhou Xia (University of Melbourne)
 
                    时间:2018-11-27  09:30-10:20
  
                    地点:Room 1304, Sciences Building No. 1
                   
                  
                    Abstract: A graph is said to be stable if its canonical double cover has no unexpected symmetries. Graph 
stability has been studied in the literature from different viewpoints. In this talk I will first review these 
viewpoints and then focus on the stability of circulant graphs. In particular, I will give an answer to a 
question of Wilson in 2008 on the stability of arc-transitive circulant graphs and infinitely many 
counterexamples to a conjecture of Marusic, Scapellato and Zagaglia Salvi in 1989. This is based 
on joint work with Yan-Li Qin and Sanming Zhou.