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On binary matroids without a \(P_{10}\)-minor

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Publication:1637097
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DOI10.1007/s00373-018-1884-xzbMath1388.05031OpenAlexW3046365225MaRDI QIDQ1637097

Xiangqian Zhou

Publication date: 7 June 2018

Published in: Graphs and Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00373-018-1884-x

zbMATH Keywords

binary matroidsinternally 4-connected matroid3-connected matroid\(P_{10}\)


Mathematics Subject Classification ID

Combinatorial aspects of matroids and geometric lattices (05B35)



Uses Software

  • MACEK


Cites Work

  • Unnamed Item
  • Strong splitter theorem
  • A decomposition theorem for binary matroids with no prism minor
  • Characterizing binary matroids with no \(P_9\)-minor
  • On internally 4-connected non-regular binary matroids
  • Decomposition of regular matroids
  • Principally unimodular skew-symmetric matrices
  • A generalization of a graph result of D. W. Hall
  • The class of binary matroids with no \(M\)(\(K_{3,3}\))-, \(M^{*}\)(\(K_{3,3}\))-, \(M\)(\(K_{5}\))- or \(M^{*}\)(\(K_{5}\))-minor.
  • The excluded minors for GF(4)-representable matroids
  • The Internally 4-Connected Binary Matroids with No $M(K_{5}\backslash e)$-Minor
  • The Internally 4-Connected Binary Matroids With No 𝑀(𝐾_{3,3})-Minor.
  • The Binary Matroids With No 4-Wheel Minor
  • A new proof for a result of Kingan and Lemos'
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