A splitter theorem for elastic elements in 3-connected matroids

DOI10.37236/11399zbMath1520.05022arXiv2207.08981WikidataQ121887784 ScholiaQ121887784MaRDI QIDQ6042103

George Drummond, Charles Semple

Publication date: 16 May 2023

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.08981

zbMATH Keywords

matroidsplitter theoremelastic elements

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)

Cites Work

• Unnamed Item
• A splitter theorem relative to a fixed basis
• The structure of the 3-separations of 3-connected matroids
• Maintaining 3-connectivity relative to a fixed basis
• Decomposition of regular matroids
• A simple theorem on 3-connectivity
• Stabilizers of classes of representable matroids
• Generalized \(\Delta\text{--}Y\) exchange and \(k\)-regular matroids
• Elastic elements in 3-connected matroids
• On preserving matroid 3-connectivity relative to a fixed basis
• Connectivity in Matroids

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