Subset sum problem

GPTKB entity

Statements (31)
Predicate Object
gptkbp:instanceOf theoretical computer science
NP-complete problem
gptkbp:application combinatorial optimization
cryptography
resource allocation
gptkbp:complexity NP-complete
gptkbp:estimatedCost yes
gptkbp:field gptkb:mathematics
computer science
theoretical computer science
gptkbp:firstDescribed 1974
gptkbp:generalizes partition problem
gptkbp:hasOptimizationVersion yes
gptkbp:hasReductionFrom gptkb:3-SAT
gptkbp:hasSpecialCase gptkb:knapsack_problem
gptkbp:hasSubgroup NP-complete problems
gptkbp:hasVersion yes
https://www.w3.org/2000/01/rdf-schema#label Subset sum problem
gptkbp:input set of integers
target integer
gptkbp:reduces partition problem
gptkbp:relatedTo gptkb:knapsack_problem
partition problem
gptkbp:solvedBy gptkb:meet-in-the-middle_algorithm
dynamic programming
backtracking
pseudo-polynomial time algorithm
gptkbp:type Is there a subset of the given set whose sum is equal to the target integer?
gptkbp:usedIn gptkb:Merkle–Hellman_knapsack_cryptosystem
gptkbp:bfsParent gptkb:NP-completeness
gptkbp:bfsLayer 5