|
A problem is assigned to the P (polynomial time) class if there exists at least one algorithm to solve that problem, such that
the number of steps of the algorithm is bounded by a polynomial in , where is the length of
the input.
Borwein, J. M. and Borwein, P. B. Pi & the AGM: A Study in Analytic Number Theory and Computational
Complexity. New York: Wiley, 1987.
Clay Mathematics Institute. "The P vs. NP Problem." http://www.claymath.org/millennium/P_vs_NP/.
Cook, S. "The P versus NP Problem." http://www.claymath.org/millennium/P_vs_NP/Official_Problem_Description.pdf.
Greenlaw, R.; Hoover, H. J.; and Ruzzo, W. L. Limits to Parallel Computation: P-Completeness Theory.
Oxford, England: Oxford University Press, 1995.
Smale, S. "Mathematical Problems for the Next Century." Math. Intelligencer 20,
No. 2, 7-15, 1998.
Smale, S. "Mathematical Problems for the Next Century." In Mathematics: Frontiers and Perspectives 2000 (Ed. V. Arnold,
M. Atiyah, P. Lax, and B. Mazur). Providence, RI: Amer. Math. Soc.,
2000.
|