Erdős, Pál and Mullin, R. C. and T. Sós, Vera and Stinson, D. R. (1983) Finite linear spaces and projective planes. DISCRETE MATHEMATICS, 47 (1). pp. 4962. ISSN 0012365X

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Abstract
In 1948, De Bruijn and Erdös proved that a finite linear space on ν points has at least ν lines, with equality occurring if and only if the space is either a nearpencil (all points but one collinear) or a projective plane. In this paper, we study finite linear spaces which are not nearpencils. We obtain a lower bound for the number of lines (as a function of the number of points) for such linear spaces. A finite linear space which meets this bound can be obtained provided a suitable projective plane exists. We then investigate the converse: can a finite linear space meeting the bound be embedded in a projective plane. © 1983.
Item Type:  Article 

Subjects:  Q Science / természettudomány > QA Mathematics / matematika 
SWORD Depositor:  MTMT SWORD 
Depositing User:  MTMT SWORD 
Date Deposited:  27 Jun 2020 06:53 
Last Modified:  27 Jun 2020 06:53 
URI:  http://real.mtak.hu/id/eprint/110561 
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