On extensions of the Alon-Tarsi Latin Square conjecture
Combinatorics
2013-04-17 v2
Abstract
Expressions involving the product of the permanent with the (n-1)th power of the determinant of a matrix of indeterminates, and of (0,1)-matrices, are shown to be related to two conjectures that extend the Alon-Tarsi Latin square conjecture to odd dimensions. An identity involving an alternating sum of permanents of (0,1)-matrices is obtained.
Keywords
Cite
@article{arxiv.1204.5276,
title = {On extensions of the Alon-Tarsi Latin Square conjecture},
author = {Daniel Kotlar},
journal= {arXiv preprint arXiv:1204.5276},
year = {2013}
}