K-partition Problem

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf theoretical computer science
NP-complete problem
gptkbp:application resource allocation
clustering
load balancing
gptkbp:complexity NP-complete
gptkbp:describes The K-partition Problem asks whether a multiset of numbers can be partitioned into K subsets with equal sum.
gptkbp:field combinatorial optimization
computer science
gptkbp:generalizes partition problem
gptkbp:hardness strongly NP-complete for K ≥ 3
https://www.w3.org/2000/01/rdf-schema#label K-partition Problem
gptkbp:input integer K
multiset of numbers
gptkbp:output yes/no answer
gptkbp:relatedTo set partitioning
partition problem
gptkbp:solvedBy backtracking
approximation algorithms
dynamic programming (for small K)
gptkbp:studiedBy 1970s
gptkbp:bfsParent gptkb:Partition_Problem
gptkbp:bfsLayer 7