Reducibility Among Combinatorial Problems

@inproceedings{Karp1972ReducibilityAC,
  title={Reducibility Among Combinatorial Problems},
  author={Richard M. Karp},
  booktitle={50 Years of Integer Programming},
  year={1972}
}
  • R. Karp
  • Published in
    50 Years of Integer…
    1972
  • Computer Science
Throughout the 1960s I worked on combinatorial optimization problems including logic circuit design with Paul Roth and assembly line balancing and the traveling salesman problem with Mike Held. These experiences made me aware that seemingly simple discrete optimization problems could hold the seeds of combinatorial explosions. The work of Dantzig, Fulkerson, Hoffman, Edmonds, Lawler and other pioneers on network flows, matching and matroids acquainted me with the elegant and efficient… 

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References

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ON REDUCIBILITY AMONG COMBINATORIAL PROBLEMS

A large class of combinatorial problems have been shown by Cook and Karp to be computationally equivalent to within a polynomial. We exhibit some new problems in this class, and provide simpler

The complexity of theorem-proving procedures

  • S. Cook
  • Mathematics, Computer Science
    STOC
  • 1971
It is shown that any recognition problem solved by a polynomial time-bounded nondeterministic Turing machine can be “reduced” to the problem of determining whether a given propositional formula is a