English

Hall's Marriage Theorem and Pawn Diagrams

History and Overview 2020-12-22 v2 Computer Science and Game Theory Combinatorics

Abstract

This paper is concerned with unreachable pawn diagrams and the subset of which can be generated using Hall's Marriage Theorem. The result is 1 in 23 diagrams are unreachable by applying the theorem.

Cite

@article{arxiv.2007.14160,
  title  = {Hall's Marriage Theorem and Pawn Diagrams},
  author = {Colin McDonagh},
  journal= {arXiv preprint arXiv:2007.14160},
  year   = {2020}
}

Comments

There's at least a few minor errors in the results, and since I didn't intend on uploading an updated version to arXiv, I decided to withdraw this paper