The intersection numbers of nearly Kirkman triple systems

DOI10.1007/s10114-016-5218-8zbMath1362.05020OpenAlexW2548143339MaRDI QIDQ2396729

Zhonghao Jiang, Bing Li Fan

Publication date: 24 May 2017

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-016-5218-8

zbMATH Keywords

frameintersection numberparallel classnearly Kirkman triple system

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Triple systems (05B07)

Related Items (2)

Unnamed Item ⋮ The 3-way intersection problem for kite systems

Cites Work

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• The intersection numbers of KTSs with a common parallel class
• Nearly Kirkman triple systems of order 18 and Hanani triple systems of order 19
• On the existence of nearly Kirkman triple systems with subsystems
• A survey of Kirkman triple systems and related designs
• Optimal packings of \(K_4\)'s into a \(K_n\)
• Intersection numbers of Kirkman triple systems
• On group-divisible designs with block size four and group-type \(6^{u} m^{1}\).
• The flower intersection problem for Kirkman triple systems
• Steiner Triple Systems Having a Prescribed Number of Triples in Common

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