English

Completing Partial Latin Squares - Alternative Proof

Combinatorics 2016-12-28 v2

Abstract

The problem of completing a partially specified n by n Latin square is solved by an alternative proof, based on filling the rows (or diagonals) from 1 to n, using an extended form of Hall's marriage theorem.

Cite

@article{arxiv.1605.05931,
  title  = {Completing Partial Latin Squares - Alternative Proof},
  author = {Eli Shamir},
  journal= {arXiv preprint arXiv:1605.05931},
  year   = {2016}
}

Comments

I found an error in the proof [case d=1]

R2 v1 2026-06-22T14:04:35.500Z