【摘要】 如果一个正则图是边传递但不是点传递的,那么我们称它是半对称的.每一个半对称图X必定是两部分点数相等的二部图,并且它的自同构群Aut(X)在每一部分上是传递的.如果一个半对称图的自同构群在每一部分上作用是本原的,那么我们称它是双本原的.本文决定了第二小阶数的双本原半对称图.更多还原

【Abstract】 A regular edge-transitive graph which is not vertex-transitive is said to be semisymmetric.Every semisymmetric graph X is necessarily bipartite,the two parts having equal size,and the automorphism group Aut(X) acting transitively on each of these parts.A semisymmetric graph is called biprimitive if its automorphism group acts primitively on each part.In this paper biprimitive semisymmetric graphs of second small order are determined.更多还原