Geodesic
Optimal level placement of the transitive oriented and bipartite oriented graphs by height
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (2009), pp. 43-46

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In this work we discuss level placement (numeration, arrangement) by height optimal algorithms for transitive oriented and bipartite oriented graphs. There are described three definitions of the oriented graph, and for those three definitions it is solved the level placement problem for transitive oriented graph. The problem of level placement of bipartite oriented graph is solved by the linear complexity algorithm, whereas the problems of level placement of transitive oriented graph are solved by the quadratic complexity algorithms.
Keywords: transitive oriented graph, level placement. 
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S. Y. Markosyan; A. H. Khachaturyan. Optimal level placement of the transitive oriented and bipartite oriented graphs by height. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (2009), pp. 43-46. http://geodesic.mathdoc.fr/item/UZERU_2009_2_a7/