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Let D be an arc-3-cyclic، نويسنده , , semicomplete digraph and uv be an arc of D contained in a cycle of length r. If vu ? A(D) then the arc uv is contained in cycles of length h : 3 ? h ? r، نويسنده , , or if ?+(D)، نويسنده , , ??(D) ? 3 then the arc uv is contained in cycles of length h : 6 ? h ? r. Also included in this paper is a very useful crossing arc theorem.، نويسنده ,
