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Enumeration of \((0.1)\)-matrices avoiding some \(2 \times 2\) matrices

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Publication:442351
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DOI10.1016/J.DISC.2012.04.019zbMath1246.05010arXiv1107.1299OpenAlexW1974553375MaRDI QIDQ442351

Hyeong-Kwan Ju, Seung-Hyun Seo

Publication date: 10 August 2012

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

Full work available at URL: https://arxiv.org/abs/1107.1299


zbMATH Keywords

bipartite graphpattern avoiding matrix


Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20)


Related Items (4)

Bijective enumerations of \(\Gamma\)-free \(0\)-\(1\) matrices ⋮ Lonesum decomposable matrices ⋮ On finitary properties for fiber products of free semigroups and free monoids ⋮ Structured preferences: a literature survey


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  • OEIS



Cites Work

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  • Poly-Bernoulli numbers
  • Efficient graph representations
  • On the Lambert \(w\) function
  • Permuting matrices to avoid forbidden submatrices
  • Explicit Construction of Families of LDPC Codes With No<tex>$4$</tex>-Cycles
  • Nonredundant 1’s in $\Gamma $-Free Matrices




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