English

Cauchy-Davenport Theorem for linear maps: Simplification and Extension

Combinatorics 2016-12-30 v1

Abstract

We give a new proof of the Cauchy-Davenport Theorem for linear maps given by Herdade et al., (2015). This theorem gives a lower bound on the size of the image of a linear map on a grid. Our proof is purely combinatorial and offers a partial insight into the range of parameters not handled previously.

Keywords

Cite

@article{arxiv.1612.09217,
  title  = {Cauchy-Davenport Theorem for linear maps: Simplification and Extension},
  author = {John Kim and Aditya Potukuchi},
  journal= {arXiv preprint arXiv:1612.09217},
  year   = {2016}
}

Comments

7 pages

R2 v1 2026-06-22T17:37:01.992Z