39 search results - page 4 / 8 » On the Diameter of Lattice Polytopes |
DCG
2008
13 years 5 months ago
2008
Abstract We express the generating function for lattice points in a rational polyhedral cone with a simplicial subdivision in terms of multivariate analogues of the h-polynomials o...
JCT
2006
13 years 5 months ago
2006
We construct a new 2-parameter family Emn, m, n 3, of self-dual 2-simple and 2-simplicial 4-polytopes, with flexible geometric realisations. E44 is the 24-cell. For large m, n the...
ORDER
2008
13 years 5 months ago
2008
Orthogonal surfaces are nice mathematical objects which have interesting connections to various fields, e.g., integer programming, monomial ideals and order dimension. While orthog...
COMBINATORICS
2004
13 years 5 months ago
2004
Abstract. We use the theory of hyperplane arrangements to construct natural bases for the homology of partition lattices of types A, B and D. This extends and explains the "sp...
SODA
1993
ACM
13 years 7 months ago
1993
ACM
We introduce a new method for nding several types of optimal k-point sets, minimizing perimeter, diameter, circumradius, and related measures, by testing sets of the O(k) nearest ...