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JCAM
2010
108views more  JCAM 2010»
12 years 11 months ago
Lattices on simplicial partitions
In this paper, (d + 1)-pencil lattices on simplicial partitions in Rd are studied. The barycentric approach naturally extends the lattice from a simplex to a simplicial partition,...
Gasper Jaklic, Jernej Kozak, Marjeta Krajnc, Vito ...
DCG
2008
132views more  DCG 2008»
13 years 5 months ago
Ehrhart Series and Lattice Triangulations
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...
Sam Payne
DCG
2008
90views more  DCG 2008»
13 years 5 months ago
Enumeration in Convex Geometries and Associated Polytopal Subdivisions of Spheres
We construct CW spheres from the lattices that arise as the closed sets of a convex closure, the meet-distributive lattices. These spheres are nearly polytopal, in the sense that t...
Louis J. Billera, Samuel K. Hsiao, J. Scott Provan
SODA
2012
ACM
235views Algorithms» more  SODA 2012»
11 years 7 months ago
Fast zeta transforms for lattices with few irreducibles
We investigate fast algorithms for changing between the standard basis and an orthogonal basis of idempotents for M¨obius algebras of finite lattices. We show that every lattice...
Andreas Björklund, Mikko Koivisto, Thore Husf...
COMBINATORICS
2006
126views more  COMBINATORICS 2006»
13 years 4 months ago
Plethysm for Wreath Products and Homology of Sub-Posets of Dowling Lattices
We prove analogues for sub-posets of the Dowling lattices of the results of Calderbank, Hanlon, and Robinson on homology of sub-posets of the partition lattices. The technical too...
Anthony Henderson