"Reducibility Among Combinatorial Problems" (1972)

E519559

"Reducibility Among Combinatorial Problems" (1972) is a landmark paper by Richard Karp that introduced NP-completeness to a broad audience by showing polynomial-time reductions among 21 classic combinatorial decision problems.

All labels observed (6)

How this entity was disambiguated

Statements (48)

Predicate Object
instanceOf scientific paper ⓘ
author Richard Karp ⓘ
Richard M. Karp ⓘ
linked to: Richard Karp
basedOn Cook–Levin theorem ⓘ
citationImpact highly cited paper in computer science ⓘ
contribution established NP-completeness of many fundamental problems in graph theory and combinatorics ⓘ
helped define the standard methodology for proving NP-completeness ⓘ
popularized the notion of NP-completeness in computer science ⓘ
showed polynomial-time reductions among 21 classic combinatorial decision problems ⓘ
establishesNPCompletenessOf 3-Dimensional Matching problem ⓘ
Chromatic Number problem ⓘ
Clique problem ⓘ
Exact Cover by 3-Sets problem ⓘ
linked to: Exact Cover problem

Exact Cover problem ⓘ
Feedback Vertex Set problem ⓘ
Hamiltonian Cycle problem ⓘ
Hitting Set problem ⓘ
Job Sequencing problem (NP-complete variant) ⓘ
Knapsack problem ⓘ
Node Cover problem ⓘ
Partition problem ⓘ
Satisfiability problem ⓘ
Set Covering problem ⓘ
Set Packing problem ⓘ
Steiner Tree problem (decision version) ⓘ
Subset Sum problem ⓘ
linked to: Subset sum problem

Traveling Salesman problem (decision version) ⓘ
Vertex Cover problem ⓘ
field computational complexity theory ⓘ
computer science ⓘ
theoretical computer science ⓘ
influenced algorithm design and analysis ⓘ
complexity-theoretic classification of combinatorial problems ⓘ
development of NP-completeness theory ⓘ
introducedConcept systematic use of polynomial-time many-one reductions among combinatorial problems ⓘ
language English ⓘ
publicationYear 1972 ⓘ
publishedIn Complexity of Computer Computations ⓘ
publisher Plenum Press ⓘ
status landmark paper in computational complexity theory ⓘ
topic NP-complete problems ⓘ
NP-completeness ⓘ
combinatorial decision problems ⓘ
polynomial-time reductions ⓘ
usesConcept decision problem ⓘ
many-one reduction ⓘ
nondeterministic polynomial time ⓘ
polynomial-time computable reduction ⓘ

How these facts were elicited

Referenced by (7)

Full triples — surface form annotated when it differs from this entity's canonical label.

Richard Karp → notableWork → "Reducibility Among Combinatorial Problems" (1972) ⓘ
NP-hardness → historicalWork → Karp's 21 NP-complete problems paper (1972) ⓘ
linked to: "Reducibility Among Combinatorial Problems" (1972)
Karp reduction → introducedInWork → "Reducibility Among Combinatorial Problems" ⓘ
subject linked to: Karp reductions
linked to: "Reducibility Among Combinatorial Problems" (1972)
Clique problem → listedIn → Karp's 21 NP-complete problems ⓘ
linked to: "Reducibility Among Combinatorial Problems" (1972)
Clique problem → publication → Reducibility Among Combinatorial Problems ⓘ
linked to: "Reducibility Among Combinatorial Problems" (1972)
Subset sum problem → listedIn → Karp's 21 NP-complete problems ⓘ
linked to: "Reducibility Among Combinatorial Problems" (1972)
Computers and Intractability: A Guide to the Theory of NP-Completeness → relatedTo → Karp’s 21 NP-complete problems ⓘ
linked to: "Reducibility Among Combinatorial Problems" (1972)