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The Internally 4-Connected Binary Matroids with No $M(K_{3,3})$-Minor
| eBook ISBN: | 978-1-4704-0595-3 |
| Product Code: | MEMO/208/981.E |
| List Price: | $71.00 |
| MAA Member Price: | $63.90 |
| AMS Member Price: | $42.60 |
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The Internally 4-Connected Binary Matroids with No $M(K_{3,3})$-Minor
| eBook ISBN: | 978-1-4704-0595-3 |
| Product Code: | MEMO/208/981.E |
| List Price: | $71.00 |
| MAA Member Price: | $63.90 |
| AMS Member Price: | $42.60 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 208; 2010; 95 ppMSC: Primary 05
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 Möbius ladder, or is isomorphic to one of eighteen sporadic matroids.
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Table of Contents
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Chapters
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1. Introduction
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2. Preliminaries
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3. Möbius matroids
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4. From internal to vertical connectivity
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5. An $R_{12}$-type matroid
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6. A connectivity lemma
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7. Proof of the main result
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A. Case-checking
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B. Sporadic matroids
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C. Allowable triangles
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
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Volume: 208; 2010; 95 pp
MSC: Primary 05
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 Möbius ladder, or is isomorphic to one of eighteen sporadic matroids.
-
Chapters
-
1. Introduction
-
2. Preliminaries
-
3. Möbius matroids
-
4. From internal to vertical connectivity
-
5. An $R_{12}$-type matroid
-
6. A connectivity lemma
-
7. Proof of the main result
-
A. Case-checking
-
B. Sporadic matroids
-
C. Allowable triangles
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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