Geodesic
Degree sequences of digraphs with highly irregular property
Discussiones Mathematicae. Graph Theory, Tome 18 (1998) no. 1, pp. 49-61.

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A digraph such that for each its vertex, vertices of the out-neighbourhood have different in-degrees and vertices of the in-neighbourhood have different out-degrees, will be called an HI-digraph. In this paper, we give a characterization of sequences of pairs of out- and in-degrees of HI-digraphs.
Keywords: digraph, degree sequence, highly irregular property 
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Majcher, Zofia; Michael, Jerzy. Degree sequences of digraphs with highly irregular property. Discussiones Mathematicae. Graph Theory, Tome 18 (1998) no. 1, pp. 49-61. http://geodesic.mathdoc.fr/item/DMGT_1998_18_1_a3/

[1] Y. Alavi, J. Liu, J. Wang, Highly irregular digraphs, Discrete Math. 111 (1993) 3-10, doi: 10.1016/0012-365X(93)90134-F.

[2] A.J. Hoffman, Some recent applications of the theory of linear inequalities to extremal combinatorial analysis, Proc. Symp. Appl. Math. 10 (1960) 317-327.

[3] Z. Majcher, Matrices representable by directed graphs, Archivum Mathematicum (Brno) 21 (4) (1985) 205-218.

[4] Z. Majcher, J. Michael, Degree sequences of highly irregular graphs, Discrete Math. 164 (1997) 225-236, doi: 10.1016/S0012-365X(97)84782-6.