Reducibility Among Combinatorial Problems (Karp, 1972)

URI: https://gptkb.org/entity/Reducibility_Among_Combinatorial_Problems_(Karp,_1972)
GPTKB entity
Statements (100)
Predicate Object
gptkbp:instanceOf gptkb:academic_journal
gptkbp:author gptkb:Richard_M._Karp
gptkbp:citation thousands of scientific papers
gptkbp:describes polynomial-time many-one reductions
gptkbp:establishes NP-completeness of 21 problems
gptkbp:example gptkb:3-Dimensional_Matching
gptkb:3-SAT
gptkb:Chromatic_Number
gptkb:Clique_Cover
gptkb:Exact_Cover
gptkb:Exact_Set_Cover
gptkb:Feedback_Arc_Set
gptkb:Hamiltonian_Cycle
gptkb:Hitting_Set
gptkb:Knapsack_Problem
gptkb:Partition_Problem
gptkb:Set_Covering
gptkb:Steiner_Tree
gptkb:Subset_Sum
gptkb:Traveling_Salesman_Problem_(decision_version)
gptkb:Vertex_Cover
gptkb:Clique
gptkb:Feedback_Vertex_Set
gptkb:Clique_Partition
gptkb:Directed_Feedback_Vertex_Set
gptkb:Directed_Hamiltonian_Cycle
gptkb:Directed_Hamiltonian_Path
gptkb:Exact_Cover_by_3-Sets
gptkb:Feedback_Edge_Set
gptkb:Graph_Isomorphism
gptkb:Node_Cover
gptkb:Satisfiability
gptkb:Set_Cover
gptkb:Subgraph_Isomorphism
gptkb:Undirected_Hamiltonian_Cycle
gptkb:Undirected_Hamiltonian_Path
Feedback Node Set
Set Packing
Directed Feedback Edge Set
Job Sequencing
Set Accessibility
Set Adjacency
Set Analysis
Set Arrangement
Set Assignment
Set Checking
Set Coloring
Set Comparison
Set Connectivity
Set Construction
Set Decomposition
Set Difference
Set Dissimilarity
Set Distance
Set Enumeration
Set Equality
Set Equivalence
Set Evaluation
Set Exclusion
Set Expansion
Set Exploration
Set Generation
Set Hitting
Set Inclusion
Set Intersection
Set Labeling
Set Matching
Set Maximization
Set Minimization
Set Optimization
Set Ordering
Set Partition
Set Partitioning
Set Proximity
Set Query
Set Reachability
Set Reduction
Set Retrieval
Set Search
Set Selection
Set Similarity
Set Splitting
Set Testing
Set Transformation
Set Traversal
Set Union
Set Validation
Set Verification
https://www.w3.org/2000/01/rdf-schema#label Reducibility Among Combinatorial Problems (Karp, 1972)
gptkbp:impact foundational in computational complexity theory
gptkbp:introduced gptkb:Karp's_21_NP-complete_problems
gptkbp:language English
gptkbp:publicationYear 1972
gptkbp:publishedIn gptkb:Complexity_of_Computer_Computations
gptkbp:publisher Plenum
gptkbp:topic gptkb:NP-completeness
computational complexity
combinatorial problems
gptkbp:bfsParent gptkb:NP-completeness
gptkbp:bfsLayer 5