3 citations · 10 across the 21 of their papers we have counts for
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math.CO2012
On the Length of a Partial Independent Transversal in a Matroidal Latin Square
Daniel Kotlar, Ran Ziv
We suggest and explore a matroidal version of the Brualdi - Ryser conjecture about Latin squares. We prove that any matrix, whose rows and columns are bases of a matroi…
math.CO2012
On extensions of the Alon-Tarsi Latin Square conjecture
Daniel Kotlar
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 co…
math.CO2012
Parity Types, Cycle Structures and Autotopisms of Latin Squares
Daniel Kotlar
The parity type of a Latin square is defined in terms of the numbers of even and odd rows and columns. It is related to an Alon-Tarsi-like conjecture that applies to Latin squares…