Dodgson's Determinant-Evaluation Rule proved by Two-Timing Men and Women

TL;DR

This paper provides a bijective proof of Dodgson's determinant condensation rule, offering a new perspective on its validity and mathematical foundation.

Contribution

It introduces a bijective proof of Dodgson's rule, which was previously unproven or lacked such a demonstration.

Findings

Successfully established a bijective proof of Dodgson's rule

Enhanced understanding of the combinatorial structure of determinant evaluation

Potential applications in simplifying determinant calculations

Abstract

The Rev. Dodgson's determinant condensation rule is given a bijective proof.