Infinitely many excluded minors for frame matroids and for lifted-graphic matroids
Rong Chen, Jim Geelen
TL;DR
This paper constructs infinite sequences of excluded minors for both lifted-graphic and frame matroids, advancing understanding of their structural properties.
Contribution
It introduces infinite families of excluded minors for lifted-graphic and frame matroids, expanding the known classifications.
Findings
Infinite excluded minors for lifted-graphic matroids
Infinite excluded minors for frame matroids
Enhanced understanding of matroid class boundaries
Abstract
We present infinite sequences of excluded minors for both the class of lifted-graphic matroids and the class of frame matroids.
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Taxonomy
TopicsAdvanced Algebra and Logic · Fuzzy and Soft Set Theory · Advanced Graph Theory Research