In [[graph theory]], '''Munkres' assignment algorithm''', named after [[James Munkres]], or the '''Hungarian algorithm''' is an [[algorithm]] which solves instances of the [[assignment problem]] in [[polynomial time]]. Its first version, known as the '''Hungarian method''', was invented by H. Kuhn in 1955. The Hungarian method was then revised by [[James Munkres]] in 1957, and ever since it has been widely known as the '''Hungarian algorithm''', or the '''Munkres' assignment algorithm''', or even as the '''Kuhn-Munkres algorithm'''.