The templates for some classes of quaternary matroids

DOI10.1016/j.jctb.2020.09.011zbMath1478.05019arXiv1902.07136OpenAlexW3090376355MaRDI QIDQ2221928

Kevin Grace

Publication date: 3 February 2021

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

Full work available at URL: https://arxiv.org/abs/1902.07136

zbMATH Keywords

minorextremal functiongolden ratiocharacteristic settemplategolden meanquaternarymatroid structure theorypartial fieldperles configuration

Mathematics Subject Classification ID

Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) (52B40) Combinatorial aspects of representation theory (05E10) Combinatorial aspects of matroids and geometric lattices (05B35)

Related Items (2)

On the Highly Connected Dyadic, Near-Regular, and Sixth-Root-of-Unity Matroids ⋮ The Extremal Function for Excluding Geometry Minors over Prime Fields

Uses Software

• SageMath

Cites Work

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• Confinement of matroid representations to subsets of partial fields
• On linear systems with integral valued solutions
• Lifts of matroid representations over partial fields
• Growth rates of minor-closed classes of matroids
• On maximum-sized near-regular and \(\root 6\of{1}\)-matroids
• An algorithm to compute the set of characteristics of a system of polynomial equations over the integers.
• Cliques in dense GF(\(q\))-representable matroids
• On perturbations of highly connected dyadic matroids
• Totally free expansions of matroids.
• Partial fields and matroid representation
• On inequivalent representations of matroids over finite fields
• On maximum-sized \(k\)-regular matroids
• The highly connected matroids in minor-closed classes
• Projective geometries in dense matroids
• Templates for Binary Matroids
• An Obstacle to a Decomposition Theorem for Near-Regular Matroids
• Note on Independence Functions
• Modular Constructions for Combinatorial Geometries
• The Highly Connected Even-Cycle and Even-Cut Matroids
• On the Highly Connected Dyadic, Near-Regular, and Sixth-Root-of-Unity Matroids
• On Matroids Representable over 𝐺𝐹(3) and Other Fields

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