Some results on quadrilaterals in Steiner triple systems

DOI10.1016/0012-365X(92)90143-4zbMath0783.05022WikidataQ126844179 ScholiaQ126844179MaRDI QIDQ1199487

S. Singh

Publication date: 16 January 1993

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

projective spaceSteiner triple systemquadrilateralPasch configuration

Mathematics Subject Classification ID

Steiner systems in finite geometry (51E10) Combinatorial aspects of finite geometries (05B25) Triple systems (05B07)

Related Items (16)

Anti-mitre Steiner triple systems ⋮ Twin Steiner triple systems ⋮ The Steiner triple systems of order 19 ⋮ A polynomial ideal associated to any $t$-$(v,k,\lambda)$ design ⋮ Unnamed Item ⋮ Characterization of affine Steiner triple systems and Hall triple systems ⋮ Algorithms and complexity for counting configurations in Steiner triple systems ⋮ Bussey systems and Steiner's tactical problem ⋮ The 2-rotational Steiner triple systems of order 25 ⋮ A mass formula for Steiner triple systems STS\((2^n-1)\) of 2-rank \(2^n-n\) ⋮ The configuration polytope of ℓ-line configurations in Steiner triple systems ⋮ Counting configurations in designs ⋮ A Sylvester-Gallai type theorem for abelian groups ⋮ Colouring of cubic graphs by Steiner triple systems ⋮ The centre of a Steiner loop and the maxi-Pasch problem ⋮ Quorum systems constructed from combinatorial designs

Cites Work

• On certain constructions for latin squares with no latin subsquares of order two
• Linear spaces and steiner systems
• The Structure of Certain Triple Systems
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