Tresses of polygons

• Autorzy: Łupiński A. , Petelczyc K. , Prażmowski K.
• Języki publikacji: EN

Abstrakty

EN

A class of configurations which can be considered as series of suitably inscribed closed polygons is introduced and some fundamental properties of them are established.

Słowa kluczowe

EN

polygons; partial linear space; triple systems; connected component; combinatorial analysis

PL

wielokąty; przestrzeń linearna; system trójkowy; analiza kombinatoryczna

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2007
• Tom: Vol. 40, nr 2
• Strony: 419--439
• Opis fizyczny: Bibliogr. 14 poz.

Twórcy

autor

Łupiński A.

autor

Petelczyc K.

autor

Prażmowski K.

• Institute of Mathematics University of Białystok ul. Akademicka 2, 15-267 Białystok, Poland

Bibliografia

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• [2] Ch. J. Colbourn, A. Rosa, Triple systems, Oxford Mathematical Monographs, The Clarendon Press, Oxford University Press, New York, 1999.
• [3] H. S. M. Coxeter, Self-dual configurations and regular graphs, Bull. Amer. Math. Soc. 56(1950), 413-455; included in Twelfe geometric essays, Southern Illinois Univ. Press, 1968, 107-149.
• [4] A. D. Forbes, M. J. Grannell, T. S. Griggs, Configurations and trades in Steiner triple systems, Australas. J. Combin. 29 (2004), 75-84.
• [5] M. Gionfrido, S. Milici, V. Vacirca, On disjoint partial triple systems, Rend. Circ. Mat. Palermo (2) 33 (1984), no. 2, 170-184.
• [6] D. Hilbert, P. Cohn-Vossen, Anschauliche Geometrie, Springer, Berlin, 1932.
• [7] O. Idden, K. Strambach, Frobenius quasigroups and regular polygons, Results Math. 45 (2004), no.3-4, 254-273.
• [8] A. Kozłowski, K. Prażmowski, Configurations defined over finite rings, Glasnik Mat. 41 (61) (2006), 115-140.
• [9] F. Levi, Geometrische Konfigurationen, Hirzel, Leipzig, 1929.
• [10] Ch. C. Lindner, A partial Steiner triple system of order n can be embedded in a Steiner triple system of order 6n + 3, J. Combin. Theory Ser. A 18 (1975), 349-351.
• [11] W. Lipski, W. Marek, Analiza kombinatoryczna (in Polish), PWN, Warszawa 1986.
• [12] K. Petelczyc, Series of inscribed n-gons and rank 3 configurations, Contrib. Alg.Geom. 46 (2005), No. 1, 283-300.
• [13] K. Petelczyc, K. Prażmowski, Multiplied configurations, series induced by quasi difference sets, submitted.
• [14] K. Petelczyc, K. Prażmowski, Multiplied configurations, series induced by correlations, Results Math., to appear.