Combinatorial properties of Fourier-Motzkin elimination

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Geir Dahl


Fourier-Motzkin elimination is a classical method for solving linear inequalities in
which one variable is eliminated in each iteration. This method is considered here as a matrix
operation and properties of this operation are established. In particular, the focus is on situations
where this matrix operation preserves combinatorial matrices (defined here as (0, 1, −1)-matrices).

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