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Embedding partial \(G\)-designs where \(G\) is a 4-cycle with a pendant edge

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Publication:1773359
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DOI10.1016/J.DISC.2004.11.005zbMath1059.05029OpenAlexW2046662775MaRDI QIDQ1773359

Peter Jenkins

Publication date: 28 April 2005

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

Full work available at URL: https://doi.org/10.1016/j.disc.2004.11.005


zbMATH Keywords

\(G\)-design4-cycleEmbeddingPartial designPendant edge


Mathematics Subject Classification ID

Other designs, configurations (05B30)


Related Items (2)

Completing partial packings of bipartite graphs ⋮ Tight embeddings of partial quadrilateral packings




Cites Work

  • A partial \(m=(2k+1)\)-cycle system of order \(n\) can be embedded in an \(m\)- cycle of order \((2n+1)m\)
  • Another class of balanced graph designs: Balanced circuit designs
  • Embeddings of partial Steiner triple systems
  • A partial \(2k\)-cycle system of order \(n\) can be embedded in a \(2k\)-cycle system of order \(kn+c(k),k\geqslant 3\), where \(c(k)\) is a quadratic function of \(k\)
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