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Minimum embedding of balanced \(P_{4}\)-designs into 5-cycle systems.

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Publication:1428541
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DOI10.1016/S0012-365X(03)00284-XzbMath1035.05016MaRDI QIDQ1428541

Eric Mendelsohn, Gaetano Quattrocchi

Publication date: 29 March 2004

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


zbMATH Keywords

cycle systembalanced path design


Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05)


Related Items (2)

Minimum embedding of \(P_{3}\)-designs into \(\mathrm{TS}(v,\lambda )\) ⋮ Minimum embedding of a \(P_{4}\)-design into a balanced incomplete block design of index \(\lambda \)



Cites Work

  • Embedding Steiner triple systems into Steiner systems \(S(2,4,v)\).
  • Embedding handcuffed designs with block size 2 or 3 in 4-cycle systems
  • Embedding path designs in 4-cycle systems
  • Embedding handcuffed designs in \(D\)-designs, where \(D\) is the triangle with attached edge
  • Embedding balanced \(P_{3}\)-designs into (balanced) \(P_{4}\)-designs
  • Minimum embedding of Steiner triple systems into \((K4-e)\)-designs. I
  • On certain distributions of integers in pairs with given differences
  • Some Remarks on the Triple Systems of Steiner.
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