The Internally 4-Connected Binary Matroids with No $M(K_{3,3})$-Minor

The Internally 4-Connected Binary Matroids with No $M(K_{3,3})$-Minor

$200.00
$200.00
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The Internally 4-Connected Binary Matroids with No $M(K_{3,3})$-Minor
  • The Internally 4-Connected Binary Matroids with No $M(K_{3,3})$-Minor
  • The Internally 4-Connected Binary Matroids with No $M(K_{3,3})$-Minor
The Internally 4-Connected Binary Matroids with No $M(K_{3,3})$-Minor

The Internally 4-Connected Binary Matroids with No $M(K_{3,3})$-Minor

$200.00
$200.00

The authors give a characterization of the internally $4$-connected binary matroids that have no minor isomorphic to $M(K_{3,3})$. Any such matroid is either cographic, or is isomorphic to a particular single-element extension of the bond matroid of a cubic or quartic Mobius ladder, or is isomorphic to one of eighteen sporadic matroids.

  • Author: Dillon Mayhew, Gordon Royle, Geoff Whittle
  • Publisher: American Mathematical Soc.
  • Published: 2010
  • Pages: 110

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