@article {IOPORT.06038596,
    author       = {Dey, Santanu S. and Louveaux, Quentin},
    title        = {Split rank of triangle and quadrilateral inequalities.},
    year         = {2011},
    journal      = {Mathematics of Operations Research},
    volume       = {36},
    number       = {3},
    issn         = {1526-5471},
    pages        = {432-461},
    publisher    = {INFORMS, Hanover, MD},
    doi          = {10.1287/moor.1110.0496},
    abstract     = {Summary: A simple relaxation consisting of two rows of a simplex tableau is a mixed-integer set with two equations, two free integer variables, and nonnegative continuous variables. Recently, Andersen et al. and Cornu\'ejols and Margot showed that the facet-defining inequalities of this set are either split cuts or intersection cuts obtained from lattice-free triangles and quadrilaterals. From an example given by Cook et al. it is known that one particular class of facet-defining triangle inequality does not have finite split rank. In this paper we show that all other facet-defining triangle and quadrilateral inequalities have finite split rank.},
    identifier   = {06038596},
}