 | Mayhew D. The internally 4-connected binary matroids with no M(K3,3)-minor / D.Mayhew, G.Royle, G.Whittle. - Providence: American Mathematical Society, 2010. - 95 p. - (Memoirs of the American Mathematical Society; Vol.208, N 981). - Bibliogr.: p.93-94. - Ind.: p.95. - ISBN 978-0-8218-4726-5; ISSN 0065-9266
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Chapter 1. Introduction ......................................... 1
Chapter 2. Preliminaries ........................................ 5
2.1. Connectivity ............................................ 5
2.2. Fundamental graphs ...................................... 6
2.3. Blocking sequences ...................................... 7
2.4. Splitters ............................................... 8
2.5. Generalized parallel connections ........................ 9
2.6. The Δ-γ-operation ...................................... 15
Chapter 3. Möbius matroids ..................................... 23
3.1. Triangular Möbius matroids ............................. 23
3.2. Triadic Möbius matroids ................................ 24
3.3. Minors of Möbius matroids .............................. 25
Chapter 4. Prom internal to vertical connectivity .............. 31
Chapter 5. An R12-type matroid ................................. 39
Chapter 6. A connectivity lemma ................................ 43
Chapter 7. Proof of the main result ............................ 61
7.1. A cornucopia of lemmas ................................. 61
7.2. The coup de grace ...................................... 71
Appendix A. Case-checking ...................................... 83
Appendix B. Sporadic matroids .................................. 87
Appendix C. Allowable triangles ................................ 91
Bibliography ................................................... 93
Index .......................................................... 95
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