Riassunto
Per molti problemi di ottimizzazione combinatoria è noto un algoritmo tempopolinomiale e quelli più importanti sono presentati in questo libro. Comunque, esistono anche molti altri problemi importanti per i quali non si conosce nessun algoritmo tempo-polinomiale. Anche se non si può dimostrare che per questi problemi non esistono degli algoritmi tempo-polinomiali, si può mostrare che se esistesse un algoritmo tempo-polinomiale per anche uno solo dei problemi “difficili” (più precisamente: NP-difficili) ne esisterebbe uno per quasi tutti i problemi discussi in questo libro (più precisamente: tutti i problemi NP- facili).
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Riferimenti bibliografici
Letteratura generale
Aho, A.V., Hopcroft, J.E., Ullman, J.D. [1974]: The Design and Analysis of Computer Algorithms. Addison-Wesley, Reading
Ausiello, G., Crescenzi, P., Gambosi, G., Kann, V., Marchetti-Spaccamela, A., Protasi, M. [1999]: Complexity and Approximation: Combinatorial Optimization Problems and Their Approximability Properties. Springer, Berlin
Bovet, D.B., Crescenzi, P. [1994]: Introduction to the Theory of Complexity. Prentice-Hall, New York
Garey, M.R., Johnson, D.S. [1979]: Computers and Intractability: A Guide to the Theory of NP-Completeness. Freeman, San Francisco, Chapters 1–3, 5, and 7
Goldreich, O. [2008]: Computational Complexity: A Conceptual Perspective. Cambrige University Press, New York
Horowitz, E., Sahni, S. [1978]: Fundamentals of Computer Algorithms. Computer Science Press, Potomac, Chapter 11
Johnson, D.S. [1981]: The NP-completeness column: an ongoing guide. Journal of Algorithms starting with Vol. 4
Karp, R.M. [1975]: On the complexity of combinatorial problems. Networks 5, 45–68
Papadimitriou, C.H. [1994]: Computational Complexity. Addison-Wesley, Reading
Papadimitriou, C.H., Steiglitz, K. [1982]: Combinatorial Optimization: Algorithms and Complexity. Prentice-Hall, Englewood Cliffs, Chapters 15 and 16
Wegener, I. [2005]: Complexity Theory: Exploring the Limits of Efficient Algorithms. Springer, Berlin
Riferimenti citati
Adleman, L.M., Pomerance, C., Rumely, R.S. [1983]: On distinguishing prime numbers from composite numbers. Annals of Mathematics 117, 173–206
Agrawal, M., Kayal, N., Saxena, N. [2004]: PRIMES is in P. Annals of Mathematics 160, 781–793
Cook, S.A. [1971]: The complexity of theorem proving procedures. Proceedings of the 3rd Annual ACM Symposium on the Theory of Computing, 151–158
Edmonds, J. [1965]: Minimum partition of a matroid into independent subsets. Journal of Research of the National Bureau of Standards B 69, 67–72
van Emde Boas, P. [1990]: Machine models and simulations. In: Handbook of Theoretical Computer Science; Volume A; Algorithms and Complexity (J. van Leeuwen, ed.), Elsevier, Amsterdam, pp. 1–66
Fürer, M. [2007]: Faster integer mulitplication. Proceedings of the 39th ACM Symposium on Theory of Computing, 57–66
Garey, M.R., Johnson, D.S., Stockmeyer, L. [1976]: Some simplified NP-complete graph problems. Theoretical Computer Science 1, 237–267
Hopcroft, J.E., Ullman, J.D. [1979]: Introduction to Automata Theory, Languages, and Computation. Addison-Wesley, Reading
Karp, R.M. [1972]: Reducibility among combinatorial problems. In: Complexity of Computer Computations (R.E. Miller, J.W. Thatcher, eds.), Plenum Press, New York, pp. 85–103
Ladner, R.E. [1975]: On the structure of polynomial time reducibility. Journal of the ACM 22, 155–171
Lewis, H.R., Papadimitriou, C.H. [1981]: Elements of the Theory of Computation. Prentice-Hall, Englewood Cliffs
Papadimitriou, C.H., Yannakakis, M. [1990]: On recognizing integer polyhedra. Combinatorica 10, 107–109
Pratt, V. [1975]: Every prime has a succinct certificate. SIAM Journal on Computing 4, 214–220
Schönhage, A., Strassen, V. [1971]: Schnelle Multiplikation großer Zahlen. Computing 7, 281–292
Turing, A.M. [1936]: On computable numbers, with an application to the Entscheidungsproblem. Proceedings of the London Mathematical Society (2) 42, 230–265 and 43, 544–546
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Korte, B., Vygen, J. (2011). NP-Completezza. In: Ottimizzazione Combinatoria. UNITEXT(). Springer, Milano. https://doi.org/10.1007/978-88-470-1523-4_15
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