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The number of finite relational structures. (English) Zbl 0389.05006


MSC:

05A15 Exact enumeration problems, generating functions
08A05 Structure theory of algebraic structures
20B99 Permutation groups
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References:

[1] Burnside, W., Theory of Groups of Finite Order (1911), Cambridge University Press: Cambridge University Press Cambridge, Dover Publications, NY, 1955 · JFM 42.0151.02
[2] de Bruijn, N. G., Polya’s theory of counting, (Beckenbach, E. F., Applied Combinatorial Mathematics (1954), Wiley: Wiley NY), 144-184 · Zbl 0144.00601
[3] de Bruijn, N. G.; Klarner, D. A., Enumeration of generalized graphs, Indag. Math., 31, 1-9 (1969) · Zbl 0167.52301
[4] Fagin, R., Probabilities on finite models, J. Symbol. Logic, 41, 50-58 (1976) · Zbl 0341.02044
[5] Ford, G. W.; Uhlenbeck, G. S., Combinatorial problems in the theory of graphs. IV, Proc. Nat. Acad. Sci., 43, 163-167 (1957)
[6] Harary, F., Note on Carnap’s relational asymptotic relative frequencies, J. Symbol. Logic, 23, 257-260 (1958)
[7] R. McKenzie, private communication.; R. McKenzie, private communication.
[8] Oberschelp, W., Strukturzahlen in endlichen Relationssystemen, (Schmidt, H. A., Contributions to Mathematical Logic. Contributions to Mathematical Logic, Proc. of 1966 Logic Colloquium (1968), North-Holland: North-Holland Amsterdam), 199-213 · Zbl 0216.30602
[9] Tarski, A., Contributions to the theory of models I, II, Indag. Math., 16, 572-588 (1954) · Zbl 0058.24702
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