By Gottfried Wilhelm Leibniz

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London Math. Soc. 35 (1960), 85-90. W. Feit and G. Higman, The non-existence of certain CFH 64] generalized polygons, J. Algebra 1 (1964), 114-138. [ER 60] E. Fried and J. Koll9r, Automorphism groups of algebraic number fields, Math. Zeitschr. 163 (1978), 121-123. [FK 79] , Automorphism groups of fields, in: Universal Algebra (Proc. T. Schmidt et al. ), Coll. Math. Soc. J. Bolyai 24 (1981), to appear. CFK 81] E. Fried and J. Sichler, Homomorphisms of integral domains of characteristic zero, Trans.

CABS 80] L. Babai, Automorphism groups of planar graphs I. Discrete Math. 2 (1972), 285-307. [Ba 72] , Groups of graphs on given surfaces, Acta Math. Acad. Sci. Hung. (1973), 215-221. [Ba 73] , Automorphism groups of graphs and edge-contraction, Discrete Math. 8 (1974), 13-20. [Ba 74a] , A remark on contraction of graphs with given group, Acta Math. Acad. Sci. Hung. 25 (1974), 89-91. [Ba 74b] On the minimum order of graphs with given group, , [Ba 74c] Canad. Math. Bull. 17 (1974), 467-470. , Automorphism groups of planar graphs II, in: Infinite and finite sets (Proc.

H. Wielandt, Finite permutation groups, Acad. Y. 1964. :o2 s through invariant relations, Lecture notes, Ohio State University 19 9. M. Wilson, private communication (1980). T. White, Graphs, Groups and Surfaces, North-Holland, Amsterdam 1973. 41 A TOUR THROUGH TOURNAMENTS OR BIPARTITE AND ORDINARY TOURNAMENTS: A COMPARATIVE SURVEY LOWELL W. BEINEKE PURDUE UNIVERSITY AT FORT WAYNE AND THE POLYTECHNIC OF NORTH LONDON Some of the richest theory in the study of directed graphs is found in the area of tournaments, and it is interesting to see whether a portion of that theory can be applied to other areas.