Matroids with many small circuits and cocircuits

DOI10.1016/j.aam.2018.12.005zbMath1407.05044OpenAlexW2908349450MaRDI QIDQ1738313

Charles Semple, Simon Pfeil, Geoffrey P. Whittle, James G. Oxley

Publication date: 29 March 2019

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2018.12.005

zbMATH Keywords

3-cocircuits4-circuits4-cocircuitswheels-and-whirls theorem

Mathematics Subject Classification ID

Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) (52B40) Combinatorial aspects of matroids and geometric lattices (05B35)

Related Items

On the structure of triangle-free 3-connected matroids, Generalized spikes with circuits and cocircuits of different cardinalities, Cyclic Matroids, On a Generalization of Spikes, Matroids with a cyclic arrangement of circuits and cocircuits

Cites Work

• Decomposition of regular matroids
• Weak Maps of Combinatorial Geometries
• Connectivity in Matroids
• Unnamed Item