On extensions of the Alon-Tarsi Latin Square conjecture

Details On extensions of the Alon-Tarsi Latin Square conjecture On extensions of the Alon-Tarsi Latin Square conjecture

2012-04-24

arxiv.org/abs/1204.5276v1

Mathematics

Combinatorics

Scientific paper

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.

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