一个图称为是半传递的,如果它的自同构群传递地作用在它的顶点集和边集上,但不传递地作用在它的弧集上.该文首先研究了在一定条件下pq2阶6度半传递图的一些性质,然后给出一类特殊的pq2阶Cayley图是半传递图的充分条件,这里p和q为两个不同的奇素数.
A graph is said to be a half-arc-transitive graph if its automorphism group acts transi- tively on its vertex set and edge set, but not on its arc set. In this paper, we study some properties of hexavalent half-arc-transitive graphs with pqZ order under a certain condition. Then we give a suffi- cient condition that a special Cayley graph of order pq2 is half-arc-transitive, where p and q are dis- tinct odd primes.