English

On Matroids and Linearly Independent Set Families

Combinatorics 2016-11-04 v1

Abstract

New families of matroids are constructed in this note. These new fami- lies are derived from the concept of linearly independent set family (LISF) introduced by Eicker and Ewald [Linear Algebra and its Applications 388 (2004) 173-191]. The proposed construction generalizes in a natural way the well known class of vectorial matroids over a field.

Keywords

Cite

@article{arxiv.1302.5654,
  title  = {On Matroids and Linearly Independent Set Families},
  author = {Giuliano G. La Guardia and Luciane Grossi and Welington Santos},
  journal= {arXiv preprint arXiv:1302.5654},
  year   = {2016}
}