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Maintaining 3-connectivity relative to a fixed basis

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Publication:928773
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DOI10.1016/j.aam.2007.05.001zbMath1139.05013OpenAlexW2044656722MaRDI QIDQ928773

James G. Oxley, Charles Semple, Geoffrey P. Whittle

Publication date: 11 June 2008

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2007.05.001


zbMATH Keywords

matroid representationwheels and whirls theoremSplitter theorem


Mathematics Subject Classification ID

Combinatorial aspects of matroids and geometric lattices (05B35)


Related Items (9)

A splitter theorem for elastic elements in 3-connected matroids ⋮ A splitter theorem relative to a fixed basis ⋮ On preserving matroid 3-connectivity relative to a fixed basis ⋮ Contracting an element from a cocircuit ⋮ Excluded minors are almost fragile ⋮ Elastic elements in 3-connected matroids ⋮ On contracting hyperplane elements from a 3-connected matroid ⋮ Matroid 3-connectivity and branch width ⋮ Nonseparating Cocircuits in Binary Matroids



Cites Work

  • Unnamed Item
  • Decomposition of regular matroids
  • The excluded minors for GF(4)-representable matroids
  • Wild triangles in 3-connected matroids
  • Connectivity in Matroids


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