DCG
2002
13 years 10 months ago
2002
For each pair (Qi, Qj) of reference points and each real number r there is a unique hyperplane h QiQj such that d(P, Qi)2 - d(P, Qj)2 = r for points P in h. Take n reference point...
DCG
2002
2002
A Polytope Related to Empirical Distributions, Plane Trees, Parking Functions, and the Associahedron
13 years 10 months ago
The volume of the n-dimensional polytope nx := fy 2 Rn : yi 0 and y1 + + yi x1 + + xi for all 1 i ng for arbitrary x := x1; : : : ; xn with xi 0 for all i de nes a polyn...
DCG
2002
13 years 10 months ago
2002
DCG
2002
13 years 10 months ago
2002
DCG
2002
13 years 10 months ago
2002
DCG
2002
13 years 10 months ago
2002
We discuss methods for the generation of oriented matroids and of isomorphism classes of oriented matroids. Our methods are based on single element extensions and graph theoretica...
DCG
2002
13 years 10 months ago
2002
We study the map which sends vectors of polynomials into their Wronski determinants. This defines a projection map of a Grassmann variety which we call a Wronski map. Our main res...
DCG
2002
13 years 10 months ago
2002
DCG
2002
13 years 10 months ago
2002
Let V be a vector space of dimension d over a field K and let A be a central arrangement of hyperplanes in V. To answer a question posed by K. Aomoto, P. Orlik and H. Terao constru...
DCG
2002
13 years 10 months ago
2002
