称图X是半传递图,如果X的自同构群Aut(X)作用在其顶点集和边集上都传递,但作用在其弧集上非传递。本文证明了qp2(其中q
A graph X is said to be a half-transitive graph if its full automorphism group denoted by Aut (X) acts transitively on its vertex set and edge set,but not on its arc set. In this paper,the connected half-transitive tetravalent graphs of order qp2(q〈p and are all odd primes) are proved to be isomorphic to a Normal Cayley graph of a metacyclic group,and the graph is also isomorphic to some tightly attached graph. For the automorphism of such graphs,its order and solvability are determined finally.