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Combinatorial properties of Fourier-Motzkin elimination

Combinatorial properties of Fourier-Motzkin elimination

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