Sufficient Ore type condition for a digraph to be supereulerian.

• An Ore type condition for a strong digraph to be supereulerian is obtained. • A previous result given by Bang-Jensen in 2015 is extended. • A conjecture for a 2-strong digraph to be supereulerian is proposed. A digraph D is called supereulerian if D has a spanning eulerian subdigraph. In this article, we show that a strong digraph D with n vertices is supereulerian if for every three different vertices z , w and v such that z and w are nonadjacent, d (z) + d (w) + d + (z) + d − (v) ≥ 3 n − 5 (if (z , v) ∉ A (D)) and d (z) + d (w) + d − (z) + d + (v) ≥ 3 n − 5 (if (v , z) ∉ A (D)). And this bound is sharp. [ABSTRACT FROM AUTHOR]