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ENDM
2007
60views more  ENDM 2007»
13 years 9 months ago
Bounds on the Number of Maximal Sum-Free Sets
We show that the number of maximal sum-free subsets of {1, 2, . . . , n} is at most 23n/8+o(n) . We also show that 20.406n+o(n) is an upper bound on the number of maximal product-...
Guy Wolfovitz
DAM
2010
79views more  DAM 2010»
13 years 10 months ago
On the sum minimization version of the online bin covering problem
Given a set of m identical bins of size 1, the online input consists of a (potentially, infinite) stream of items in (0, 1]. Each item is to be assigned to a bin upon arrival. The ...
János Csirik, Leah Epstein, Csanád I...
TCC
2010
Springer
170views Cryptology» more  TCC 2010»
14 years 6 months ago
Public-Key Cryptographic Primitives Provably as Secure as Subset Sum
Abstract. We propose a semantically-secure public-key encryption scheme whose security is polynomialtime equivalent to the hardness of solving random instances of the subset sum pr...
Vadim Lyubashevsky, Adriana Palacio, Gil Segev
SODA
2010
ACM
144views Algorithms» more  SODA 2010»
13 years 8 months ago
Cell-Probe Lower Bounds for Succinct Partial Sums
The partial sums problem in succinct data structures asks to preprocess an array A[1 . . n] of bits into a data structure using as close to n bits as possible, and answer queries ...
Mihai Patrascu, Emanuele Viola
MA
2010
Springer
168views Communications» more  MA 2010»
13 years 8 months ago
Bounds for the sum of dependent risks having overlapping marginals
We describe several analytical and numerical procedures to obtain bounds on the distribution function of a sum of n dependent risks having fixed overlapping marginals. As an appl...
Paul Embrechts, Giovanni Puccetti