English

Transversals in Latin Squares

Combinatorics 2024-07-01 v1

Abstract

A Latin square is an nn by nn grid filled with nn symbols so that each symbol appears exactly once in each row and each column. A transversal in a Latin square is a collection of cells which do not share any row, column, or symbol. This survey will focus on results from the last decade which have continued the long history of the study of transversals in Latin squares.

Cite

@article{arxiv.2406.19873,
  title  = {Transversals in Latin Squares},
  author = {Richard Montgomery},
  journal= {arXiv preprint arXiv:2406.19873},
  year   = {2024}
}

Comments

26 pages, 8 pages. Survey written to accompany a talk at the 30th British Combinatorial Conference

R2 v1 2026-06-28T17:22:33.569Z