A Wheels-and-Whirls Theorem for $3$-Connected $2$-Polymatroids

DOI10.1137/140996549zbMath1332.05031OpenAlexW2301200242MaRDI QIDQ2797091

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

Publication date: 4 April 2016

Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/4ba4aff90af583fe0a60f741eed9b6e1fd105885

zbMATH Keywords

3-connectedwheelwhirl2-polymatroidinductive connectivity tool

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 (2)

A splitter theorem for 3-connected 2-polymatroids ⋮ The Excluded Minors for Three Classes of 2-Polymatroids Having Special Types of Natural Matroids

Cites Work

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• The structure of the 3-separations of 3-connected matroids
• Matching theory
• Signed graphs
• A characterization of Tutte invariants of 2-polymatroids
• Excluding a long double path minor
• Solving Rota's Conjecture
• AN AFFIRMATIVE ANSWER TO A QUESTION ON NOETHERIAN RINGS
• Rado's theorem for polymatroids
• Duality in Polymatroids and Set Functions
• Non-Separable and Planar Graphs
• Connectivity in Matroids

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