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Triangles in arrangements of lines. (English) Zbl 0401.05036


MSC:

05B45 Combinatorial aspects of tessellation and tiling problems
05A20 Combinatorial inequalities
05B25 Combinatorial aspects of finite geometries

Citations:

Zbl 0249.50011
Full Text: DOI

References:

[1] Burr, S.; Grünbaum, B.; Sloane, N. J.A., The orchard problem, Geometriae Dedicata, 2, 397-424 (1974) · Zbl 0311.05024
[2] Elliott, P. D.T. A., On the number of circles determined by \(n\) points, Acta Math. Acad. Sci. Hungar., 18, 181-188 (1967) · Zbl 0163.14701
[3] Grünbaum, B., Arrangements and Spreads (1972), Am. Math. Soc: Am. Math. Soc Providence, RI · Zbl 0249.50011
[4] Kelly, L. M.; Moser, W. O.J., On the number of ordinary lines determined by \(n\) points, Can. J. Math., 10, 210-219 (1958) · Zbl 0081.15103
[5] G.B. Purdy, On the number of regions determined by \(n\); G.B. Purdy, On the number of regions determined by \(n\) · Zbl 0433.51004
[6] Strommer, T. O., Triangles in arrangements of lines, J. Comb. Theory, 23, A, 314-320 (1977) · Zbl 0401.05028
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