@misc{BosseGroetschelHenk, author = {Bosse, Hartwig and Gr{\"o}tschel, Martin and Henk, Martin}, title = {Polynomial Inequalities Representing Polyhedra}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-8284}, number = {04-53}, abstract = {Our main result is that every \$n\$-dimensional polytope can be described by at most \$2n-1\$ polynomial inequalities and, moreover, these polynomials can explicitly be constructed. For an \$n\$-dimensional pointed polyhedral cone we prove the bound \$2n-2\$ and for arbitrary polyhedra we get a constructible representation by \$2n\$ polynomial inequalities.}, language = {en} } @misc{BosseGroetschelHenk, author = {Bosse, Hartwig and Gr{\"o}tschel, Martin and Henk, Martin}, title = {Polynomial Inequalities Representing Polyhedra}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-7473}, number = {03-25}, abstract = {Our main result is that every n-dimensional polytope can be described by at most (2n-1) polynomial inequalities and, moreover, these polynomials can explicitly be constructed. For an n-dimensional pointed polyhedral cone we prove the bound 2n-2 and for arbitrary polyhedra we get a constructible representation by 2n polynomial inequalities.}, language = {en} } @article{BosseGroetschelHenk2005, author = {Bosse, Hartwig and Gr{\"o}tschel, Martin and Henk, Martin}, title = {Polynomial inequalities representing polyhedra}, series = {Mathematical Programming}, volume = {103}, journal = {Mathematical Programming}, number = {1}, doi = {10.1007/s10107-004-0563-2}, pages = {35 -- 44}, year = {2005}, language = {en} }