Geodesic
On varieties of orgraphs
Discussiones Mathematicae. Graph Theory, Tome 21 (2001) no. 2, pp. 207-221.

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In this paper we investigate varieties of orgraphs (that is, oriented graphs) as classes of orgraphs closed under isomorphic images, suborgraph identifications and induced suborgraphs, and we study the lattice of varieties of tournament-free orgraphs.
Keywords: orgraph, variety, lattice 
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Haviar, Alfonz; Monoszová, Gabriela. On varieties of orgraphs. Discussiones Mathematicae. Graph Theory, Tome 21 (2001) no. 2, pp. 207-221. http://geodesic.mathdoc.fr/item/DMGT_2001_21_2_a5/

[1] B. Bollobás, Extremal Graph Theory (Academic press, London, New York, San Francisco, 1978).

[2] M. Borowiecki, I. Broere, M. Frick, P. Mihók and G. Semani sin, A survey of hereditary properties of graphs, Discuss. Math. Graph Theory 17 (1997) 5-50, doi: 10.7151/dmgt.1037.

[3] M. Borowiecki and P. Mihók, Hereditary properties of graphs, in: V.R. Kulli, ed., Advances in graph theory (Vishwa Inter. Publ., Gulbarga, 1991) 41-68.

[4] S. Buris and H.P. Sankappanavar, A Course in Universal Algebra (Springer-Verlag, New York, Heidelberg, Berlin, 1981).

[5] G. Chartrand, O.R. Oellermann, Applied and Algorithmic Graph Theory (Mc Graw-Hill, 1993).

[6] R. Diestel, Graph Theory (Springer-Verlag New York, 1997).

[7] D. Duffus and I. Rival, A structure theory for ordered sets, Discrete Math. 35 (1981) 53-118, doi: 10.1016/0012-365X(81)90201-6.

[8] A. Haviar and R. Nedela, On varieties of graphs, Discuss. Math. Graph Theory 18 (1998) 209-223, doi: 10.7151/dmgt.1077.

[9] A. Haviar, The lattice of varieties of graphs, Acta Univ. M. Belii, ser. Math. 8 (2000) 11-19.

[10] P. Mihók and R. Vasky, Hierarchical Decompositions of Diagrams in Information System Analysis and Lattices of Hereditary Properties of Graphs, Proceedings of ISCM Herlany 1999, ed. A. Has cák, V. Pirc, V. Soltés (University of Technology, Košice, 2000) 126-129.

[11] E.R. Scheinerman, On the structure of hereditary classes of graphs, J. Graph Theory 10 (1986) 545-551.