Geodesic
Combinatorial properties of Fourier-Motzkin elimination
The electronic journal of linear algebra, Tome 16 (2007), pp. 334-346.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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).
Classification : 05C50, 15A39, 90C27
Keywords: linear inequalities, Fourier-Motzkin elimination, network matrices 
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     title = {Combinatorial properties of {Fourier-Motzkin} elimination},
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Dahl, Geir. Combinatorial properties of Fourier-Motzkin elimination. The electronic journal of linear algebra, Tome 16 (2007), pp. 334-346. http://geodesic.mathdoc.fr/item/ELA_2007__16__a9/