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» The Discrete Basis Problem
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123
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COMPGEOM
2006
ACM
15 years 7 months ago
Conflict-free colorings of shallow discs
We prove that any collection of n discs in which each one intersects at most k others, can be colored with at most O(log3 k) colors so that for each point p in the union of all di...
Noga Alon, Shakhar Smorodinsky
101
Voted
COMPGEOM
1995
ACM
15 years 7 months ago
On Conway's Thrackle Conjecture
A thrackle is a graph drawn in the plane so that its edges are represented by Jordan arcs and any two distinct arcs either meet at exactly one common vertex or cross at exactly on...
László Lovász, János P...
141
Voted
COMPGEOM
2005
ACM
15 years 5 months ago
Fast construction of nets in low dimensional metrics, and their applications
We present a near linear time algorithm for constructing hierarchical nets in finite metric spaces with constant doubling dimension. This data-structure is then applied to obtain...
Sariel Har-Peled, Manor Mendel
130
Voted
WSC
2004
15 years 4 months ago
Multi-Formalism Modeling Approach for Semiconductor Supply/Demand Networks
Building computational models of real world systems usually requires the interaction of decision modules and simulation modules. Given different models and algorithms, the major h...
Gary W. Godding, Hessam S. Sarjoughian, Karl G. Ke...
114
Voted
WSC
2000
15 years 4 months ago
Java engine for UML based hybrid state machines
One of the approaches to modeling hybrid systems is to assign algebraic-differential equations describing the continuous behavior to states of state machines that represent discre...
Andrei Borshchev, Yuri B. Kolesov, Yuri B. Seniche...