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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Arrangements of lines with a large number of triangles
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by Z. Füredi and I. Palásti
Proc. Amer. Math. Soc. 92 (1984), 561-566
DOI: https://doi.org/10.1090/S0002-9939-1984-0760946-2

Abstract:

An arrangement of lines is constructed by choosing $n$ diagonals of the regular $2n$-gon. This arrangement is proved to form at least $n(n - 3)/3$ triangular cells.
References
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Bibliographic Information
  • © Copyright 1984 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 92 (1984), 561-566
  • MSC: Primary 52A37; Secondary 51M20
  • DOI: https://doi.org/10.1090/S0002-9939-1984-0760946-2
  • MathSciNet review: 760946