Improvement of inequalities for the ( r , q ) -structures and some geometrical connections

Vojtech Bálint; Philippe Lauron

Archivum Mathematicum (1995)

  • Volume: 031, Issue: 4, page 283-289
  • ISSN: 0044-8753

Abstract

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The main results are the inequalities (1) and (6) for the minimal number of ( r , q ) -structure classes,which improve the ones from [3], and also some geometrical connections, especially the inequality (13).

How to cite

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Bálint, Vojtech, and Lauron, Philippe. "Improvement of inequalities for the $(r,q)$-structures and some geometrical connections." Archivum Mathematicum 031.4 (1995): 283-289. <http://eudml.org/doc/247695>.

@article{Bálint1995,
abstract = {The main results are the inequalities (1) and (6) for the minimal number of $(r,q)$-structure classes,which improve the ones from [3], and also some geometrical connections, especially the inequality (13).},
author = {Bálint, Vojtech, Lauron, Philippe},
journal = {Archivum Mathematicum},
keywords = {structure; line; circle; horocycle; structure; circle; horocycle; line},
language = {eng},
number = {4},
pages = {283-289},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Improvement of inequalities for the $(r,q)$-structures and some geometrical connections},
url = {http://eudml.org/doc/247695},
volume = {031},
year = {1995},
}

TY - JOUR
AU - Bálint, Vojtech
AU - Lauron, Philippe
TI - Improvement of inequalities for the $(r,q)$-structures and some geometrical connections
JO - Archivum Mathematicum
PY - 1995
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 031
IS - 4
SP - 283
EP - 289
AB - The main results are the inequalities (1) and (6) for the minimal number of $(r,q)$-structure classes,which improve the ones from [3], and also some geometrical connections, especially the inequality (13).
LA - eng
KW - structure; line; circle; horocycle; structure; circle; horocycle; line
UR - http://eudml.org/doc/247695
ER -

References

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  13. Point sets with many unit circles, Discrete Math. 60 (1985), 193-197. (1985) MR0852106
  14. Einheitskreise in ebenen Punktmengen, 3.Kolloquium über Diskrete Geometrie, Institut für Mathematik der Universität Salzburg (1985), 163-168. (1985) Zbl0572.52020
  15. Problem 24 , Combinatorical Structures and their Applications, New York-London-Paris, Gordon and Breach, 1970. (1970) 
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  18. Mathematical Question 11851 , Educational Times 59 (1893), 98. (1893) 

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