Interaction Between Skew-representability, Tensor Products, Extension Properties, and Rank Inequalities

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Authors: Kristóf Bérczi, Boglárka Gehér, András Imolay, László Lovász, Carles Padró, Tamás Schwarcz
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Abstract

Skew-representable matroids form a fundamental class in matroid theory, bridging combinatorics and linear algebra. They play an important role in areas such as coding theory, optimization, and combinatorial geometry, where linear structure is crucial for both theoretical insights and algorithmic applications. Since deciding skew-representability is computationally intractable, much effort has been focused on identifying necessary or sufficient conditions for a matroid to be skew-representable.

Fields of Study & Subjects

Advanced Graph Theory Research Computational Geometry and Mesh Generation Complexity and Algorithms in Graphs

Publication details

Journal / source
Society for Industrial and Applied Mathematics eBooks
Pages
328–354
Publication date
1 January 2026
Language
EN