The Internally 4-Connected Binary Matroids with No $M(K_{3,3})$-Minor
- ISBN-10
- 0821848267
- ISBN-13
- 9780821848265
- Category
- Combinatorial designs and configurations
- Pages
- 110
- Language
- English
- Published
- 2010
- Publisher
- American Mathematical Soc.
- Authors
- Gordon Royle, Dillon Mayhew, Geoff Whittle
Description
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.
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