Determinants, Choices and Combinatorics
Combinatorics
2018-09-20 v2
Abstract
We prove a formula which generalizes both Onn's colorful determinantal formula, related to Rota's basis conjecture, and Svrtan's formula, related to the Atiyah-Sutcliffe problem. In some cases, our formula allows us to prove some results similar in spirit to the statement of Rota's basis conjecture. We prove such a result using Svrtan's formula, generalizing one of Svrtan's arguments to a combinatorial setting.
Keywords
Cite
@article{arxiv.1803.09554,
title = {Determinants, Choices and Combinatorics},
author = {Joseph Malkoun},
journal= {arXiv preprint arXiv:1803.09554},
year = {2018}
}