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COMPGEOM
2001
ACM
13 years 11 months ago
PRECISE: efficient multiprecision evaluation of algebraic roots and predicates for reliable geometric computation
: Many geometric problems like generalized Voronoi diagrams, medial axis computations and boundary evaluation involve computation and manipulation of non-linear algebraic primitive...
Shankar Krishnan, Mark Foskey, Tim Culver, John Ke...
COMPGEOM
2004
ACM
14 years 1 months ago
On empty convex polygons in a planar point set
Let P be a set of n points in general position in the plane. Let Xk(P ) denote the number of empty convex k-gons determined by P. We derive, using elementary proof techniques, sev...
Rom Pinchasi, Rados Radoicic, Micha Sharir
CALC
2001
Springer
171views Cryptology» more  CALC 2001»
14 years 16 days ago
Approximate Integer Common Divisors
We show that recent results of Coppersmith, Boneh, Durfee and Howgrave-Graham actually apply in the more general setting of (partially) approximate common divisors. This leads us t...
Nick Howgrave-Graham
WADT
1997
Springer
14 years 5 days ago
An inductive view of graph transformation
The dynamic behavior of rule-based systems (like term rewriting systems 24], process algebras 27], and so on) can be traditionally determined in two orthogonal ways. Either operati...
Fabio Gadducci, Reiko Heckel
CDC
2009
IEEE
126views Control Systems» more  CDC 2009»
13 years 9 months ago
Reachability analysis for a class of Petri nets
In this paper, we study the reachability problem for the class of (strictly) monotone Petri nets that we define based on algebraic conditions. More specifically, given a (strictly)...
Yu Ru, Christoforos N. Hadjicostis