讲座内容：

Theclassification of integral graphs is a hard and wide open problem. In this talkwe first present a necessary and sufficient condition for the integrality ofCayley graphs over the dicyclic group. Then we obtain some simple sufficientconditions for the integrality of Cayley graphs over T4n in terms of theBoolean algebra, from which we determine some infinite families of connectedintegral Cayley graphs over T4n. At last, we completely determine all integralCayley graphs over the dicyclic group T4p for a prime p.