The Internally 4 Connected Binary Matroids With No Mk33 Minor

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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
Author :
Publisher : American Mathematical Soc.
Total Pages : 110
Release :
ISBN-10 : 9780821848265
ISBN-13 : 0821848267
Rating : 4/5 (267 Downloads)

Book Synopsis The Internally 4-Connected Binary Matroids with No $M(K_{3,3})$-Minor by : Dillon Mayhew

Download or read book The Internally 4-Connected Binary Matroids with No $M(K_{3,3})$-Minor written by Dillon Mayhew and published by American Mathematical Soc.. This book was released on 2010 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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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 co
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