A q-analogue of delta-matroids and related concepts

Fuente: arXiv
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Hauptverfasser: Ceria, Michela, Johnsen, Trygve, Jurrius, Relinde
Format: Preprint
Veröffentlicht: 2024
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author Ceria, Michela
Johnsen, Trygve
Jurrius, Relinde
author_facet Ceria, Michela
Johnsen, Trygve
Jurrius, Relinde
contents We define and study q-delta-matroids, and q-g-matroids. These objects are analogues, for finite-dimensional vector spaces over finite fields, of delta-matroids and g-matroids arising from finite sets. We compare axiomatic descriptions with definitions by means of strong maps of q-matroids.
format Preprint
id arxiv_https___arxiv_org_abs_2406_14944
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A q-analogue of delta-matroids and related concepts
Ceria, Michela
Johnsen, Trygve
Jurrius, Relinde
Combinatorics
05B35, 05A30, 11T71
We define and study q-delta-matroids, and q-g-matroids. These objects are analogues, for finite-dimensional vector spaces over finite fields, of delta-matroids and g-matroids arising from finite sets. We compare axiomatic descriptions with definitions by means of strong maps of q-matroids.
title A q-analogue of delta-matroids and related concepts
topic Combinatorics
05B35, 05A30, 11T71
url https://arxiv.org/abs/2406.14944