메뉴 건너뛰기




Volumn 31, Issue 1, 1998, Pages 27-40

Isolating an odd number of elements and applications in complexity theory

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SCIENCE; MATHEMATICAL TECHNIQUES;

EID: 0032330819     PISSN: 14324350     EISSN: 14330490     Source Type: Journal    
DOI: 10.1007/s002240000075     Document Type: Article
Times cited : (6)

References (26)
  • 1
    • 0028516587 scopus 로고
    • A uniform circuit lower bound for the permanent
    • E. Allender and V. Gore. A uniform circuit lower bound for the permanent. SIAM J. Comput., 23:1026-1049, 1994.
    • (1994) SIAM J. Comput. , vol.23 , pp. 1026-1049
    • Allender, E.1    Gore, V.2
  • 2
    • 0008651743 scopus 로고
    • Depth reductions for circuits of unbounded fan-in
    • E. Allender and U. Hertrampf. Depth reductions for circuits of unbounded fan-in. SIAM J. Comput., 112:217-238, 1994. An earlier version appears as: E. Allender, A note on the power of threshold circuits, Proc. 30th IEEE Symp. on Foundations of Computer Science, pages 580-584, 1989.
    • (1994) SIAM J. Comput. , vol.112 , pp. 217-238
    • Allender, E.1    Hertrampf, U.2
  • 3
    • 0024766765 scopus 로고
    • A note on the power of threshold circuits
    • E. Allender and U. Hertrampf. Depth reductions for circuits of unbounded fan-in. SIAM J. Comput., 112:217-238, 1994. An earlier version appears as: E. Allender, A note on the power of threshold circuits, Proc. 30th IEEE Symp. on Foundations of Computer Science, pages 580-584, 1989.
    • (1989) Proc. 30th IEEE Symp. on Foundations of Computer Science , pp. 580-584
    • Allender, E.1
  • 4
    • 0001455609 scopus 로고
    • On ACC
    • R. Beigel and J. Tarui. On ACC. Comput. Complexity, 4:350-366, 1994. An earlier version appears as: On ACC in Proc. 32nd IEEE Symp. on Foundations of Computer Science, pages 783-792, 1991.
    • (1994) Comput. Complexity , vol.4 , pp. 350-366
    • Beigel, R.1    Tarui, J.2
  • 5
    • 85033893281 scopus 로고
    • On ACC
    • R. Beigel and J. Tarui. On ACC. Comput. Complexity, 4:350-366, 1994. An earlier version appears as: On ACC in Proc. 32nd IEEE Symp. on Foundations of Computer Science, pages 783-792, 1991.
    • (1991) Proc. 32nd IEEE Symp. on Foundations of Computer Science , pp. 783-792
  • 8
    • 0027227135 scopus 로고
    • Randomness efficient unique element isolation with application to perfect matching and related problems
    • Springer-Verlag, New York
    • S. Chari, P. Rohtagi, and A. Srinivasan. Randomness efficient unique element isolation with application to perfect matching and related problems. In Proc. 25th ACM Symp. on Theory of Computing, pages 458-467. Springer-Verlag, New York, 1993.
    • (1993) Proc. 25th ACM Symp. on Theory of Computing , pp. 458-467
    • Chari, S.1    Rohtagi, P.2    Srinivasan, A.3
  • 11
    • 38149074447 scopus 로고
    • The computational complexity of universal hashing
    • Y. Mansour, N. Nisan, and P. Tiwari. The computational complexity of universal hashing. Theoret. Comput. Sci., 107:121-133, 1993.
    • (1993) Theoret. Comput. Sci. , vol.107 , pp. 121-133
    • Mansour, Y.1    Nisan, N.2    Tiwari, P.3
  • 12
    • 51249174825 scopus 로고
    • Matching is as easy as matrix inversion
    • K. Mulmuley, U.V. Vazirani, and V.V. Vazirani. Matching is as easy as matrix inversion. Combinatorica, 7(1):105-113, 1987.
    • (1987) Combinatorica , vol.7 , Issue.1 , pp. 105-113
    • Mulmuley, K.1    Vazirani, U.V.2    Vazirani, V.V.3
  • 13
    • 0027641832 scopus 로고
    • Small-bias probability spaces: Efficient constructions and applications
    • J. Naor and M. Naor. Small-bias probability spaces: efficient constructions and applications. SIAM J. Comput., 22(4):838-856, 1993. An earlier version appears as: J. Naor and M. Naor, Small-bias probability spaces: efficient constructions and applications, in Proc. 22nd Annual ACM Symp. on Theory of Computing, pages 213-223, 1990.
    • (1993) SIAM J. Comput. , vol.22 , Issue.4 , pp. 838-856
    • Naor, J.1    Naor, M.2
  • 14
    • 0025152620 scopus 로고
    • Small-bias probability spaces: Efficient constructions and applications
    • J. Naor and M. Naor. Small-bias probability spaces: efficient constructions and applications. SIAM J. Comput., 22(4):838-856, 1993. An earlier version appears as: J. Naor and M. Naor, Small-bias probability spaces: efficient constructions and applications, in Proc. 22nd Annual ACM Symp. on Theory of Computing, pages 213-223, 1990.
    • (1990) Proc. 22nd Annual ACM Symp. on Theory of Computing , pp. 213-223
    • Naor, J.1    Naor, M.2
  • 15
    • 0000883554 scopus 로고
    • Lower bounds on the size of bounded depth networks over a complete basis with logical addition
    • A. Razborov. Lower bounds on the size of bounded depth networks over a complete basis with logical addition. Mat. Zametki, 41:598-607, 1987. An English translation appears in: Math. Notes 41:333-338, 1987.
    • (1987) Mat. Zametki , vol.41 , pp. 598-607
    • Razborov, A.1
  • 16
    • 26944478724 scopus 로고
    • An English translation appears
    • A. Razborov. Lower bounds on the size of bounded depth networks over a complete basis with logical addition. Mat. Zametki, 41:598-607, 1987. An English translation appears in: Math. Notes 41:333-338, 1987.
    • (1987) Math. Notes , vol.41 , pp. 333-338
  • 17
    • 0343851485 scopus 로고    scopus 로고
    • Polynomials and combinatorial definitions of languages
    • A. Selman and L. Hamaspaandra, editors, Springer-Verlag, New York
    • K. Regan. Polynomials and combinatorial definitions of languages. In A. Selman and L. Hamaspaandra, editors, Complexity Theory Retrospective II. Springer-Verlag, New York, 1996.
    • (1996) Complexity Theory Retrospective II
    • Regan, K.1
  • 18
    • 0023570259 scopus 로고
    • Algebraic methods in the theory of lower bounds for boolean circuit complexity
    • R. Smolensky. Algebraic methods in the theory of lower bounds for boolean circuit complexity. In Proc. 19th ACM Symp. on Theory of Computing, pages 77-82, 1987.
    • (1987) Proc. 19th ACM Symp. on Theory of Computing , pp. 77-82
    • Smolensky, R.1
  • 19
    • 0027591463 scopus 로고
    • Randomized polynomials, threshold circuits, and the polynomial hierarchy
    • J. Tarui. Randomized polynomials, threshold circuits, and the polynomial hierarchy. Theoret. Comput. Sci., 113:167-183, 1993. An earlier version appears in: Proc. 8th Annual Symp. on Theoretical Aspects of Computer Science, Lecture Notes in Computer Science, volume 480, Springer-Verlag, Berlin, 1991, pages 238-250.
    • (1993) Theoret. Comput. Sci. , vol.113 , pp. 167-183
    • Tarui, J.1
  • 21
    • 0026239342 scopus 로고
    • PP is as hard as the polynomial-time hierarchy
    • S. Toda. PP is as hard as the polynomial-time hierarchy. SIAM J. Comput., 20:865-877, 1991. An earlier version appears as: S. Toda, On the computational power of PP and ⊕P, in: Proc. 30th IEEE Symp. on Foundations of Computer Science, pages 514-519, 1989.
    • (1991) SIAM J. Comput. , vol.20 , pp. 865-877
    • Toda, S.1
  • 22
    • 0024766356 scopus 로고
    • On the computational power of PP and ⊕P
    • S. Toda. PP is as hard as the polynomial-time hierarchy. SIAM J. Comput., 20:865-877, 1991. An earlier version appears as: S. Toda, On the computational power of PP and ⊕P, in: Proc. 30th IEEE Symp. on Foundations of Computer Science, pages 514-519, 1989.
    • (1989) Proc. 30th IEEE Symp. on Foundations of Computer Science , pp. 514-519
    • Toda, S.1
  • 23
    • 0026372597 scopus 로고    scopus 로고
    • Counting classes are at least as hard as the the polynomial-time hierarchy
    • S. Toda and M. Ogiwara. Counting classes are at least as hard as the the polynomial-time hierarchy. SIAM J. Comput., 21:316-328, 1992. An earlier version appears in: Proc. 6th Structure in Complexity Theory Conference, IEEE Computer Society Press, New York, pages 2-12.
    • (1992) SIAM J. Comput. , vol.21 , pp. 316-328
    • Toda, S.1    Ogiwara, M.2
  • 24
    • 0026372597 scopus 로고    scopus 로고
    • IEEE Computer Society Press, New York
    • S. Toda and M. Ogiwara. Counting classes are at least as hard as the the polynomial-time hierarchy. SIAM J. Comput., 21:316-328, 1992. An earlier version appears in: Proc. 6th Structure in Complexity Theory Conference, IEEE Computer Society Press, New York, pages 2-12.
    • Proc. 6th Structure in Complexity Theory Conference , pp. 2-12
  • 25
    • 0022911518 scopus 로고
    • NP is as easy as detecting unique solutions
    • L. Valiant and V. Vazirani. NP is as easy as detecting unique solutions. Theoret. Comput. Sci., 47:85-93, 1986.
    • (1986) Theoret. Comput. Sci. , vol.47 , pp. 85-93
    • Valiant, L.1    Vazirani, V.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.