PreprintCC BY 4.0arXiv
The Wang Transform Inequality
Abstract
We prove the Wang transform inequality in every order: if n is a positive integer, A is a nonnegative n× n matrix whose row and column sums equal one, and Jn has every entry 1/n, then perA≥ per ((nJn+A)/(n+1)). Equality holds exactly when A=Jn. We also obtain an explicit positive quadratic gap for every n≥2.
Related
BibTeX
@misc{lavi2026wang,
title = {{The Wang Transform Inequality}},
author = {Yair Lavi},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.31794},
eprint = {2609.31794},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.31794},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - The Wang Transform Inequality
AU - Yair Lavi
PY - 2026
DA - 2026/09/25
PB - arXiv
DO - 10.48550/arxiv.2609.31794
UR - https://arxiv.org/abs/2609.31794
AB - We prove the Wang transform inequality in every order: if n is a positive integer, A is a nonnegative n× n matrix whose row and column sums equal one, and J_n has every entry 1/n, then perA≥ per ((nJ_n+A)/(n+1)). Equality holds exactly when A=J_n. We also obtain an explicit positive quadratic gap for every n≥2.
ER -