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CRYPTO
2009
Springer
82views Cryptology» more  CRYPTO 2009»
15 years 10 months ago
Solving Hidden Number Problem with One Bit Oracle and Advice
In the Hidden Number Problem (HNP), the goal is to find a hidden number s, when given p, g and access to an oracle that on query a returns the k most significant bits of s · ga ...
Adi Akavia
COMPGEOM
2009
ACM
15 years 10 months ago
An improved bound on the number of unit area triangles
We show that the number of unit-area triangles determined by a set of n points in the plane is O(n9/4+ε), for any ε > 0, improving the recent bound O(n44/19) of Dumitrescu et...
Roel Apfelbaum, Micha Sharir
SYNASC
2007
IEEE
105views Algorithms» more  SYNASC 2007»
15 years 10 months ago
Decompositions of Natural Numbers: From a Case Study in Mathematical Theory Exploration
In this technical report we present the proofs of properties appearing when solving the problem of prime decomposition of natural numbers using a scheme-based systematic exploratio...
Adrian Craciun, Madalina Hodorog
FAW
2007
Springer
110views Algorithms» more  FAW 2007»
15 years 10 months ago
Maximizing the Number of Independent Labels in the Plane
In this paper, we consider a map labeling problem to maximize the number of independent labels in the plane. We first investigate the point labeling model that each label can be ...
Kuen-Lin Yu, Chung-Shou Liao, Der-Tsai Lee
ICALP
2007
Springer
15 years 10 months ago
On the Chromatic Number of Random Graphs
In this paper we consider the classical Erd˝os-R´enyi model of random graphs Gn,p. We show that for p = p(n) ≤ n−3/4−δ , for any fixed δ > 0, the chromatic number χ...
Amin Coja-Oghlan, Konstantinos Panagiotou, Angelik...