The kings prblems in semicomplete digraphs without vertices whose in-degree are zero and locally semicomplete digraph under some conditions are discussed chiefly in the paper.

其中,主讨论了不包为零的顶点的半完全有向图和满足若条件下的局部半完全有向图中王的问。

A semicomplete multipartite digraph is obtained by replacing each edge of a complete multipartite graph by an arc or by a pair of two mutually opposite arcs.

用一条弧或一对方向相反的弧代替完全多部无向图的每一条边所得到的有向图被称为是半完全多部有向图。