Document Type
Article
Publication Date
1-1-2024
Abstract
Targets are matroids that arise from a nested sequence of flats in a projective geometry. This class of matroids was introduced by Nelson and Nomoto, who found the forbidden induced restrictions for binary targets. This paper generalizes their result to targets arising from projective geometries over GF (q). We also consider targets arising from nested sequences of affine flats and determine the forbidden induced restrictions for affine targets.
Publication Source (Journal or Book title)
Electronic Journal of Combinatorics
First Page
2
Last Page
48
Recommended Citation
Mizell, M., & Oxley, J. (2024). Matroids Arising From Nested Sequences of Flats In Projective And Affine Geometries. Electronic Journal of Combinatorics, 31 (2), 2-48. https://doi.org/10.37236/12183