Abstract
In this paper n2-sets, in a projective plane, determining exactly n2+n lines are completely characterized.
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References
A. BRUEN. -The number of lines determined of n 2 points. J. Com. Theory15, 225–241 (1973).
H. S. M. COXETER. -The real projective plane, Cambridge Univ. Press, New York 1961.
P. ERDOS. -Problem N 4065, Amer. Math. Montly51 (1944).
H. HANANI. -On the number of straight lines determined by n points, Riv. Lematematika5, 10–11 (1959).
F. KARTESZI. -Alcuni problemi della geometria di incidenza, Conf. Sem. Mat. Univ. Bari, n.88 (1963).
G. KORCHMAROS. -On n 2 -sets of type(0,1,n) in projective planes, to appear
L. M. KELLY - W. O. F. MOSER. -On the number of lines and planes determined by n points, Canada, J. Math.10, 210–219 (1958).
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Research partially supported by G.N.S.A.G.A. (C.N.R.).
Paper written while the second author was at the University of Rome supported by a grant within the Italian Hungarian cultural exchange program.
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Bichara, A., Korchmaros, G. n2-sets in a projective plane which determine exactly n2+n lines. J Geom 15, 175–181 (1980). https://doi.org/10.1007/BF01922494
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DOI: https://doi.org/10.1007/BF01922494