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CG
2011
Springer
12 years 11 months ago
IA*: An adjacency-based representation for non-manifold simplicial shapes in arbitrary dimensions
We propose a compact, dimension-independent data structure for manifold, non-manifold and non-regular simplicial complexes, that we call the Generalized Indexed Data structure wit...
David Canino, Leila De Floriani, Kenneth Weiss
COMPGEOM
2004
ACM
14 years 24 days ago
New results on shortest paths in three dimensions
We revisit the problem of computing shortest obstacle-avoiding paths among obstacles in three dimensions. We prove new hardness results, showing, e.g., that computing Euclidean sh...
Joseph S. B. Mitchell, Micha Sharir
FOCS
1997
IEEE
13 years 11 months ago
Randomized and Deterministic Algorithms for the Dimension of Algebraic Varieties
We prove old and new results on the complexity of computing the dimension of algebraic varieties. In particular, we show that this problem is NP-complete in the Blum-Shub-Smale mo...
Pascal Koiran
ZEUS
2010
214views Communications» more  ZEUS 2010»
13 years 8 months ago
On the behavioural dimension of correspondences between process models
Enterprise-wide process harmonisation initiatives require the analysis of commonalities of existing business process models. That is, correspondences between activities are identif...
Matthias Weidlich, Mathias Weske
JCT
2007
83views more  JCT 2007»
13 years 7 months ago
A finiteness theorem for Markov bases of hierarchical models
We show that the complexity of the Markov bases of multidimensional tables stabilizes eventually if a single table dimension is allowed to vary. In particular, if this table dimen...
Serkan Hosten, Seth Sullivant