English

A q-analogue of delta-matroids and related concepts

Combinatorics 2025-05-08 v3

Abstract

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.

Keywords

Cite

@article{arxiv.2406.14944,
  title  = {A q-analogue of delta-matroids and related concepts},
  author = {Michela Ceria and Trygve Johnsen and Relinde Jurrius},
  journal= {arXiv preprint arXiv:2406.14944},
  year   = {2025}
}