Relativizations of Unambiguous and Random Polynomial Time Classes

SIAM Journal on Computing ◽

10.1137/0215035 ◽

1986 ◽

Vol 15 (2) ◽

pp. 511-519 ◽

Cited By ~ 18

Author(s):

John Geske ◽

Joachim Grollmann

Keyword(s):

Polynomial Time ◽

Random Polynomial

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Determining equivalence of expressions in random polynomial time

Proceedings of the sixteenth annual ACM symposium on Theory of computing - STOC '84 ◽

10.1145/800057.808698 ◽

1984 ◽

Cited By ~ 5

Author(s):

Gaston H. Gonnet

Keyword(s):

Polynomial Time ◽

Random Polynomial

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Two theorems on random polynomial time

10.1109/sfcs.1978.37 ◽

1978 ◽

Cited By ~ 115

Author(s):

Leonard Adleman

Keyword(s):

Polynomial Time ◽

Random Polynomial

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A random polynomial-time algorithm for approximating the volume of convex bodies

Journal of the ACM ◽

10.1145/102782.102783 ◽

1991 ◽

Vol 38 (1) ◽

pp. 1-17 ◽

Cited By ~ 256

Author(s):

Martin Dyer ◽

Alan Frieze ◽

Ravi Kannan

Keyword(s):

Polynomial Time ◽

Convex Bodies ◽

Polynomial Time Algorithm ◽

Time Algorithm ◽

Random Polynomial

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Random polynomial time is equal to slightly-random polynomial time

26th Annual Symposium on Foundations of Computer Science (sfcs 1985) ◽

10.1109/sfcs.1985.45 ◽

1985 ◽

Cited By ~ 44

Author(s):

Umesh V. Vazirani ◽

Vijay V. Vazirani

Keyword(s):

Polynomial Time ◽

Random Polynomial

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An explicit separation of relativised random polynomial time and relativised deterministic polynomial time

Information Processing Letters ◽

10.1016/0020-0190(89)90143-9 ◽

1989 ◽

Vol 33 (4) ◽

pp. 207-212 ◽

Cited By ~ 5

Author(s):

Richard Zippel

Keyword(s):

Polynomial Time ◽

Random Polynomial

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A random polynomial time algorithm for well-rounding convex bodies

Discrete Applied Mathematics ◽

10.1016/0166-218x(93)e0123-g ◽

1995 ◽

Vol 58 (2) ◽

pp. 117-144 ◽

Cited By ~ 2

Author(s):

U. Faigle ◽

N. Gademann ◽

W. Kern

Keyword(s):

Polynomial Time ◽

Convex Bodies ◽

Polynomial Time Algorithm ◽

Time Algorithm ◽

Random Polynomial

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Recognizing primes in random polynomial time

Proceedings of the nineteenth annual ACM conference on Theory of computing - STOC '87 ◽

10.1145/28395.28445 ◽

1987 ◽

Cited By ~ 29

Author(s):

L. Adleman ◽

M. Huang

Keyword(s):

Polynomial Time ◽

Random Polynomial

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A random polynomial time algorithm for approximating the volume of convex bodies

Proceedings of the twenty-first annual ACM symposium on Theory of computing - STOC '89 ◽

10.1145/73007.73043 ◽

1989 ◽

Cited By ~ 41

Author(s):

M. Dyer ◽

A. Frieze

Keyword(s):

Polynomial Time ◽

Convex Bodies ◽

Polynomial Time Algorithm ◽

Time Algorithm ◽

Random Polynomial

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An Explicit Separation of Relativised Random Polynomial Time and Relativised Deterministic Polynomial Time

10.21236/ada210103 ◽

1989 ◽

Cited By ~ 1

Author(s):

Richard Zippel

Keyword(s):

Polynomial Time ◽

Random Polynomial

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Randomised Approximation in the Tutte Plane

Combinatorics Probability Computing ◽

10.1017/s0963548300001036 ◽

1994 ◽

Vol 3 (1) ◽

pp. 137-143 ◽

Cited By ~ 8

Author(s):

D. J. A. Welsh

Keyword(s):

Polynomial Time ◽

Potts Model ◽

Approximation Scheme ◽

Random Polynomial

It is shown that unless NP collapses to random polynomial time RP, there can be no fully polynomial randomised approximation scheme for the antiferromagnetic version of the Q-state Potts model.

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