The Internally 4-Connected Binary Matroids With No 𝑀(𝐾_{3,3})-Minor.
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Publication:3053919
DOI10.1090/S0065-9266-10-00600-9zbMath1203.05001arXiv0902.0837OpenAlexW4242474700MaRDI QIDQ3053919
Gordon F. Royle, Dillon Mayhew, Geoffrey P. Whittle
Publication date: 5 November 2010
Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0902.0837
Research exposition (monographs, survey articles) pertaining to combinatorics (05-02) Combinatorial aspects of matroids and geometric lattices (05B35)
Related Items (21)
On binary matroids without a \(P_{10}\)-minor ⋮ Towards a splitter theorem for internally 4-connected binary matroids. IX. The theorem. ⋮ Excluding Kuratowski graphs and their duals from binary matroids ⋮ On the structure of triangle-free 3-connected matroids ⋮ Towards a splitter theorem for internally 4-connected binary matroids. III ⋮ Towards a splitter theorem for internally 4-connected binary matroids. IV ⋮ Towards a splitter theorem for internally 4-connected binary matroids. V ⋮ The Smallest Classes of Binary and Ternary Matroids Closed under Direct Sums and Complements ⋮ Improving a chain theorem for triangle-free 3-connected matroids ⋮ An upgraded Wheels-and-Whirls theorem for 3-connected matroids ⋮ Towards a splitter theorem for internally 4-connected binary matroids. II ⋮ A decomposition theorem for binary matroids with no prism minor ⋮ Characterizing binary matroids with no \(P_9\)-minor ⋮ Towards a splitter theorem for internally 4-connected binary matroids. VII ⋮ Towards a splitter theorem for internally 4-connected binary matroids. VIII: Small matroids. ⋮ The Möbius matroids ⋮ A chain theorem for internally 4-connected binary matroids ⋮ Towards a splitter theorem for internally 4-connected binary matroids. VI ⋮ Internally 4-connected binary matroids with cyclically sequential orderings ⋮ Internally 4-connected binary matroids without a prism+\(e\) minor ⋮ On Seymour's decomposition theorem
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