BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4//
BEGIN:VEVENT
UID:20250703T163239EDT-8330gIodua@132.216.98.100
DTSTAMP:20250703T203239Z
DESCRIPTION:Title: Oriented Cayley graphs with nice eigenvalues\n\nAbstract
 : Let $G$ be a finite abelian group. Bridges and Mena characterized the Ca
 yley graphs on $G$ that have only integer eigenvalues. An oriented Cayley 
 graph on $G$ is a Cayley digraph $X(G\,C)$ such that $C$ and $(-C)$ are di
 sjoint. Consider the $(0\,1\,-1)$ skew-symmetric adjacency matrix of an or
 iented Cayley graph. We give a characterization of when all its eigenvalue
 s are integer multiples of $sqrt{Delta}$ for some square-free integer $Del
 ta<0$. This also characterizes oriented Cayley graphs on which continuous 
 quantum walks are periodic\, a necessary condition for the walk to admit u
 niform mixing or perfect state transfer. \n\nSeminar Physique Mathématique
 \n	CRM-Salle 4336-4384\, Pav. André Aisenstadt\n
DTSTART:20230124T203000Z
DTEND:20230124T213000Z
SUMMARY:Xiaohong Zhang (Université de Montréal)
URL:/mathstat/channels/event/xiaohong-zhang-universite
 -de-montreal-345514
END:VEVENT
END:VCALENDAR