Towards a splitter theorem for internally 4-connected binary matroids

DOI10.1016/j.jctb.2011.08.006zbMath1238.05047arXiv1501.00327OpenAlexW2060535460MaRDI QIDQ414641

Dillon Mayhew, Carolyn Chun, James G. Oxley

Publication date: 11 May 2012

Published in: Journal of Combinatorial Theory. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.00327

zbMATH Keywords

binary matroidsinternally 4-connectedchain theorem

Mathematics Subject Classification ID

Combinatorial aspects of matroids and geometric lattices (05B35)

Related Items (8)

Towards a splitter theorem for internally 4-connected binary matroids. IX. The theorem. ⋮ Towards a splitter theorem for internally 4-connected binary matroids. III ⋮ Towards a splitter theorem for internally 4-connected binary matroids. IV ⋮ Characterising graphs with no subdivision of a wheel of bounded diameter ⋮ 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 ⋮ Towards a splitter theorem for internally 4-connected binary matroids. VIII: Small matroids.

Cites Work

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• Generating an internally 4-connected binary matroid from another
• On internally 4-connected non-regular binary matroids
• A chain theorem for internally 4-connected binary matroids

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