Towards a splitter theorem for internally 4-connected binary matroids. IX. The theorem.

DOI10.1016/j.jctb.2016.08.001zbMath1348.05048OpenAlexW2517835373MaRDI QIDQ326807

Carolyn Chun, Dillon Mayhew, James G. Oxley

Publication date: 12 October 2016

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

Full work available at URL: https://doi.org/10.1016/j.jctb.2016.08.001

zbMATH Keywords

binary matroidinternally 4-connected matroidsplitter 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 (3)

Towards a splitter theorem for internally 4-connected binary matroids. VII ⋮ Towards a splitter theorem for internally 4-connected binary matroids. VIII: Small matroids. ⋮ Towards a splitter theorem for internally 4-connected binary matroids. VI

Cites Work

• Unnamed Item
• 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
• Towards a splitter theorem for internally 4-connected binary matroids
• Generating an internally 4-connected binary matroid from another
• Towards a splitter theorem for internally 4-connected binary matroids. VIII: Small matroids.
• Almost-graphic matroids
• A chain theorem for internally 4-connected binary matroids
• Decomposition of regular matroids
• A simple theorem on 3-connectivity
• A generalization of a graph result of D. W. Hall
• Generating internally four-connected graphs
• The Internally 4-Connected Binary Matroids With No 𝑀(𝐾_{3,3})-Minor.
• Connectivity in Matroids
• A Splitter Theorem for Internally 4‐Connected Binary Matroids

This page was built for publication: Towards a splitter theorem for internally 4-connected binary matroids. IX. The theorem.