An Asymptotic Determinant Bound on 0-1 Matrices with Fixed Row Sums

2020/02/06 by Semonsen, Justin
#Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2002.02482

Abstract

This paper improves previously known bounds on the determinant of 0-1 matrices where each row has fixed support size. This uses a method based on Scheinerman's, with new analyses to improve upon his conjectures.

Related

• Maximal determinants of sparse zero-one matrices
• Counting 2× 2 matrices with fixed determinant and bounded coefficients
• Maximum determinant and permanent of sparse 0-1 matrices
• New lower bounds for the maximal determinant problem
• On the determinants of matrices with elements from arbitrary sets