Meshulam, Roy


The Alon-Tarsi basis conjecture ★★

Author(s): Alon; Linial; Meshulam

\begin{conjecture} If $B_1,B_2,\ldots B_p$ are invertible $n \times n$ matrices with entries in ${\mathbb Z}_p$ for a prime $p$, then there is a $n \times (p-1)n$ submatrix $A$ of $[B_1 B_2 \ldots B_p]$ so that $A$ is an AT-base. \end{conjecture}

Keywords: additive basis; matrix

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