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Representability of Flag Matroids

2025/03/31 by Daniel Irving Bernstein, Bernstein, Daniel Irving, Nathaniel Vaduthala +1
Computer Science · #Advanced Graph Theory Research #Complexity and Algorithms in Graphs #Advanced Algebra and Logic

paper · pdf · doi:10.48550/arxiv.2504.00267

Abstract

We provide a new axiom system for flag matroids, characterize representability of uniform flag matroids, and give forbidden minor characterizations of full flag matroids that are representable over \mathbbF2 and \mathbbF3 along with regular full flag matroids. We also provide different equivalent characterizations for regular full flag matroids.

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