We prove the following generalised empty pentagon theorem: for every integer 2, every sufficiently large set of points in the plane contains collinear points or an empty pentagon...
Gaussian elimination and LU factoring have been greatly studied from the algorithmic point of view, but much less from the point view of the best output format. In this paper, we g...
One of the main problems in all-optical packet-switched networks is the lack of optical buffers, and one feasible technology for the constructions of optical buffers is to use opt...
Toric ideals have many applications including solving integer programs. Several algorithms for computing the toric ideal of an integer matrix are available in the literature. Since...
Abstract. Many compiler optimization techniques depend on the ability to calculate the number of integer values that satisfy a given set of linear constraints. This count (the enum...
Sven Verdoolaege, Kristof Beyls, Maurice Bruynoogh...