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» A General Polynomial Sieve
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JSC
2007
97views more  JSC 2007»
13 years 8 months ago
On approximate triangular decompositions in dimension zero
Triangular decompositions for systems of polynomial equations with n variables, with exact coefficients, are well developed theoretically and in terms of implemented algorithms i...
Marc Moreno Maza, Gregory J. Reid, Robin Scott, We...
ALGORITHMICA
2004
130views more  ALGORITHMICA 2004»
13 years 8 months ago
The Power of Priority Algorithms for Facility Location and Set Cover
We apply and extend the priority algorithm framework introduced by Borodin, Nielsen, and Rackoff to define "greedy-like" algorithms for the (uncapacitated) facility locat...
Spyros Angelopoulos, Allan Borodin
ALGORITHMICA
2002
121views more  ALGORITHMICA 2002»
13 years 8 months ago
Sharp Quantum versus Classical Query Complexity Separations
We obtain the strongest separation between quantum and classical query complexity known to date--specifically, we define a black-box problem that requires exponentially many querie...
J. Niel de Beaudrap, Richard Cleve, John Watrous
BSL
2000
153views more  BSL 2000»
13 years 8 months ago
Combinatorics with definable sets: Euler characteristics and Grothendieck rings
We recall the notions of weak and strong Euler characteristics on a first order structure and make explicit the notion of a Grothendieck ring of a structure. We define partially or...
Jan Krajícek, Thomas Scanlon
ECCC
2000
93views more  ECCC 2000»
13 years 8 months ago
Security of the Most Significant Bits of the Shamir Message Passing Scheme
Boneh and Venkatesan have recently proposed a polynomial time algorithm for recovering a "hidden" element of a finite field Fp of p elements from rather short strings of...
Maria Isabel Gonzalez Vasco, Igor Shparlinski