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Subset sum problem
Known as:
Subset Sum
, Subset-sum
, Sum of subsets
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In computer science, the subset sum problem is an important problem in complexity theory and cryptography. The problem is this: given a set (or…
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Related topics
Related topics
28 relations
3-partition problem
3SUM
Approximation algorithm
Bin packing problem
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Broader (1)
Dynamic programming
Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
2008
2008
Priority sampling estimating arbitrary subset sums
N. Duffield
,
C. Lund
,
M. Thorup
2008
Corpus ID: 204951706
Starting with a set of weighted items, we want to create a gene ric sample of a certain size that we can later use to estimate…
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2008
2008
New Definition of Density on Knapsack Cryptosystems
N. Kunihiro
International Conference on Cryptology in Africa
2008
Corpus ID: 38491051
Many knapsack cryptosystems have been proposed but almost all the schemes are vulnerable to lattice attack because of its low…
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2007
2007
Wavelet Tree Group Modulation (WTGM) for Digital Image Watermarking
Min-Jen Tsai
,
Chang-Hsing Shen
IEEE International Conference on Acoustics…
2007
Corpus ID: 14123771
Differential energy watermarking (DEW) based techniques have been applied in DEW, modified schemes of DEW or wavelet tree…
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2005
2005
A lower bound concerning subset sums which do not cover all the residues modulo $p$.
J. Deshouillers
2005
Corpus ID: 125578510
Let $c>\sqrt{2}$ and let $p$ be a prime number. J-M. Deshouillers and G. A. Freiman proved that a subset $\mathcal A$ of $\mathbb…
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2005
2005
Modified subset sum heuristics for bin packing
A. Caprara
,
U. Pferschy
Information Processing Letters
2005
Corpus ID: 1297143
2004
2004
Worst-case analysis of the subset sum algorithm for bin packing
A. Caprara
,
U. Pferschy
Operations Research Letters
2004
Corpus ID: 206030833
2004
2004
Permutations Avoiding Arithmetic Patterns
P. Hegarty
Electronic Journal of Combinatorics
2004
Corpus ID: 15067992
A permutation $\pi$ of an abelian group $G$ (that is, a bijection from $G$ to itself) will be said to avoid arithmetic…
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2000
2000
Subset Sum Problem
Eric W. Weisstein
2000
Corpus ID: 149503638
There are two problems commonly known as the subset sum problem. The first ("given sum problem") is the problem of finding what…
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1996
1996
Effectiveness of penalty function in solving the subset sum problem
Hong Wang
,
Zhiqiang Ma
,
K. Nakayama
Proceedings of IEEE International Conference on…
1996
Corpus ID: 30772960
We investigate the evolutionary heuristics used as approximation algorithm to the subset sum problem. We propose a graded penalty…
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1987
1987
Parallel approximation schemes for Subset Sum and Knapsack problems
J. Peters
,
L. Rudolph
Acta Informatica
1987
Corpus ID: 31701251
SummaryThis paper presents parallel approximation schemes for the Subset Sum, 0–1 Knapsack, and several other optimization…
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