A novel algorithm to generate quad- and hex-dominant, semistructured meshes is presented. The algorithm utilizes a three-step, advancing layer scheme to generate the mesh in struc...
Computing the intersection curve of two quadrics is a fundamental problem in computer graphics and solid modeling. We present an algebraic method for classifying and parameterizin...
The Macaulay2 package PHCpack.m2 provides an interface to some of the functionality of PHCpack, a general-purpose solver for polynomial systems by homotopy continuation. The main f...
We study the Bergman complex B(M) of a matroid M: a polyhedral complex which arises in algebraic geometry, but which we describe purely combinatorially. We prove that a natural su...
We investigate the historical roots of the field of combinatorics on words. They comprise applications and interpretations in algebra, geometry and combinatorial enumeration. The...