30 search results - page 3 / 6 » Matroid Polytopes and their Volumes |
SODA
2003
ACM
13 years 6 months ago
2003
ACM
Zonotopes are centrally symmetric polytopes with a very special structure: they are the Minkowski sum of line segments. In this paper we propose to use zonotopes as bounding volum...
FFA
2007
13 years 5 months ago
2007
From a rational convex polytope of dimension r ≥ 2 J.P. Hansen constructed an error correcting code of length n = (q−1)r over the finite field Fq. A rational convex polytope...
SIAMDM
2010
13 years 3 months ago
2010
Let g1, . . . , gk be tropical polynomials in n variables with Newton polytopes P1, . . . , Pk. We study combinatorial questions on the intersection of the tropical hypersurfaces d...
SODA
2012
ACM
11 years 7 months ago
2012
ACM
The problem of approximating convex bodies by polytopes is an important and well studied problem. Given a convex body K in Rd , the objective is to minimize the number of vertices...
DCG
2002
2002
A Polytope Related to Empirical Distributions, Plane Trees, Parking Functions, and the Associahedron
13 years 5 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...