Describing quasi-graphic matroids

DOI10.1016/j.ejc.2019.103062zbMath1433.05066arXiv1808.00489OpenAlexW2991481752WikidataQ126671396 ScholiaQ126671396MaRDI QIDQ2297919

Daryl Funk, Nathan Bowler, Daniel C. Slilaty

Publication date: 20 February 2020

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.00489

zbMATH Keywords

biased graphlift matroidbiased-graphic matroid

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)

Matrix representations of frame and lifted-graphic matroids correspond to gain functions ⋮ The 9-Connected Excluded Minors for the Class of Quasi-graphic Matroids ⋮ Obstructions for Bounded Branch-depth in Matroids

Cites Work

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• Biased graphs. I: Bias, balance, and gains
• Biased graphs. II: The three matroids
• Frame matroids and biased graphs
• Biased graphs IV: Geometrical realizations
• Infinitely many excluded minors for frame matroids and for lifted-graphic matroids
• Biased graphs. III: Chromatic and dichromatic invariants
• The highly connected matroids in minor-closed classes
• Bias matroids with unique graphical representations
• Non-Separable and Planar Graphs
• On Recognizing Frame and Lifted‐Graphic Matroids
• Quasi‐graphic matroids*
• Lectures on matroids

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