It is proved that in R3 the volume of any polyhedron is a root of some polynomial with coefficients depending only on the combinatorial structure and the metric of the polyhedron....
We address a question posed by Sibley and Wagon. They proved that rhombic Penrose tilings in the plane can be 3colored, but a key lemma of their proof fails in the natural 3D gene...
Let k be a field of characteristic zero, n any positive integer and let n be the derivation n i=1 Xi Yi of the polynomial ring k[X1, . . . , Xn, Y1, . . . , Yn] in 2n variables o...
We resolve affirmatively some conjectures of Reiner, Stanton, and White [6] regarding enumeration of various classes of matrices which are invariant under certain cyclic row and co...
It is a long standing open problem to find an explicit description of the stable set polytope of clawfree graphs. Yet more than 20 years after the discovery of a polynomial algori...
Friedrich Eisenbrand, Gianpaolo Oriolo, Gautier St...