Non Deterministic Polynomial Optimization Problems and their Approximations
Explore this paper's citation graph
Summary
NP-problems are considered in this paper as recognition problems over some alphabet Σ, i.e. A ⊂ Σ* is is an NP problem if there exists a NDTM (non-deterministic Turing machine) recognizing A in polynomial time.
- Type
- article
- Published
- 1977-07-18
- Cited by
- 206
- References
- 23
- OpenAlex
- https://openalex.org/W2056090079
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:5165197
Keywords
Nondeterministic algorithm, Impossibility, Mathematics, Frame (networking), Polynomial
References
- The Design and Analysis of Computer Algorithms
- A Fast Monte-Carlo Test for Primality
- General Approximation Algorithms for some Arithmetical Combinatorial Problems
- Relationships Between Nondeterministic and Deterministic Tape Complexities
- Applications of a planar separator theorem
- Fast approximation algorithms for knapsack problems
- Computationally Related Problems
- `` Strong '' NP-Completeness Results: Motivation, Examples, and Implications
- The Complexity of Near-Optimal Graph Coloring
- Postscript about NP-hard problems
- Fast Approximation Algorithms for the Knapsack and Sum of Subset Problems
- Some simplified NP-complete problems
- The complexity of theorem-proving procedures
- Approximation algorithms for combinatorial problems
- P-Complete Approximation Problems
- Combinatorial Problems: Reductibility and Approximation
- General Techniques for Combinatorial Approximation
- On the Structure and Properties of NP-Complete Problems and Their Associated Optimization Problems
- Approximation algorithms for combinatorial problems: an annotated bibliography
- On the Structure of Combinatorial Problems and Structure Preserving Reductions
Cited by
- On Approximation Preserving Reductions: Complete Problems and Robust Measures (Revised Version)
- Convex Recolorings of Strings and Trees
- Compendium of Parameterized Problems
- Hyper-rectangle-based discriminative data generalization and applications in data mining
- A Framework for Approximate Optimization of BoT Application Deployment in Hybrid Cloud Environment
- Lattice Theoretic Ordering Properties for NP-Complete Optimization Problems
- MAX NP-Completeness Made Easy
- Comparaison de réseaux biologiques
- Approximation and elections
- Language models for hierarchical summarization
- Positive and Negative Results in Approximation and Parameterized Complexity. (Résultats Positifs et Négatifs en Approximation et Complexité Paramétrée)
- Decision Region Connectivity Analysis: A Method for Analyzing High-Dimensional Classifiers
- Approximating the domatic number
- Approximability of hard combinatorial optimization problems: an introduction
- Approximation polynomiale de problèmes d’optimisation : aspects structurels et opérationnels
- Efficient Checking of Polynomials and Proofs and the Hardness of Appoximation Problems
- Approximation algorithms for the maximum Hamiltonian path problem with specified endpoint(s)
- On the complexity of designing optimal partial-match retrieval systems
- On approximation problems related to the independent set and vertex cover problems
- The Minimum Consistent Subset Cover Problem: A Minimization View of Data Mining
Related papers
- SIGEST
- Nondeterministic polynomial time versus nondeterministic logarithmic space: time-space tradeoffs for satisfiability
- Strong Nondeterministic Polynomial-Time Reducibilities
- On the power of deterministic reductions to C=P
- Lower bounds and complete problems in nondeterministic linear time and sublinear space complexity classes
- Trading Determinism for Time in Space Bounded Computations