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Volumn 497, Issue , 2013, Pages 39-54

On testing monomials in multivariate polynomials

Author keywords

Algebra; Complexity; Derandomization; Monomial testing; Monomials; Multivariate polynomials; Randomization

Indexed keywords

COMPLEXITY; DERANDOMIZATION; MONOMIALS; MULTIVARIATE POLYNOMIAL; RANDOMIZATION;

EID: 84881130765     PISSN: 03043975     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.tcs.2012.03.038     Document Type: Article
Times cited : (5)

References (28)
  • 1
    • 15944413051 scopus 로고    scopus 로고
    • Primality and identity testing via Chinese remaindering
    • Manindra Agrawal, and Somenath Biswas Primality and identity testing via Chinese remaindering Journal of the ACM 50 4 2003 429 443
    • (2003) Journal of the ACM , vol.50 , Issue.4 , pp. 429-443
    • Agrawal, M.1    Biswas, S.2
  • 3
    • 0032058198 scopus 로고    scopus 로고
    • Madhu Sudan and Mario Szegedy, Proof verification and the hardness of approximation problems
    • Sanjeev Arora, Carsten Lund, and Rajeev Motwani Madhu Sudan and Mario Szegedy, Proof verification and the hardness of approximation problems Journal of the ACM 45 3 1998 501555
    • (1998) Journal of the ACM , vol.45 , Issue.3 , pp. 501555
    • Arora, S.1    Lund, C.2    Motwani, R.3
  • 4
    • 0001548856 scopus 로고
    • A linear-time algorithm for testing the truth of certain quantified boolean formulas
    • Bengt Aspvall, Michael F. Plass, and Robert E. Tarjan A linear-time algorithm for testing the truth of certain quantified boolean formulas Information Processing Letters 8 3 1979 121 123
    • (1979) Information Processing Letters , vol.8 , Issue.3 , pp. 121-123
    • Aspvall, B.1    Plass, M.F.2    Tarjan, R.E.3
  • 9
    • 78650833816 scopus 로고    scopus 로고
    • Approximating multilinear monomial coefficients and maximum multilinear monomials in multilinear polynomials
    • LNCS The full version will appear in Journal of Combinatorial Optimization, the Special Issue of COCOA'2010
    • Zhixiang Chen, and Bin Fu Approximating multilinear monomial coefficients and maximum multilinear monomials in multilinear polynomials Proceedings of the Fourth International Conference on Combinatorial Optimization and Applications (COCOA'2010) LNCS vol. 6508 2010 309 323 The full version will appear in Journal of Combinatorial Optimization, the Special Issue of COCOA'2010
    • (2010) Proceedings of the Fourth International Conference on Combinatorial Optimization and Applications (COCOA'2010) , vol.6508 , pp. 309-323
    • Chen, Z.1    Fu, B.2
  • 11
    • 84969277556 scopus 로고    scopus 로고
    • Improved algorithms for path, matching, and packing problems
    • Jianer Chen, Songjian Lu, Sing-Hoi Sze, and Fenghui Zhang Improved algorithms for path, matching, and packing problems SODA 2007 298 307
    • (2007) SODA , pp. 298-307
    • Chen, J.1    Lu, S.2    Sze, S.-H.3    Zhang, F.4
  • 12
    • 0029290085 scopus 로고
    • Fixed parameter tractability and completeness. II. on completeness for W[1]
    • Rod G. Downey, and Michael R. Fellows Fixed parameter tractability and completeness. II. On completeness for W[1] Theoretical Computer Science 141 1995 109 131
    • (1995) Theoretical Computer Science , vol.141 , pp. 109-131
    • Downey, R.G.1    Fellows, M.R.2
  • 14
    • 0030100766 scopus 로고    scopus 로고
    • Shmuel Safra and Mario Szegedy, Interactive proofs and the hardness of approximating cliques
    • Uriel Feige, Shafi Goldwasser, and Laszlo Lovász Shmuel Safra and Mario Szegedy, Interactive proofs and the hardness of approximating cliques Journal of the ACM (ACM) 43 2 1996 268292
    • (1996) Journal of the ACM (ACM) , vol.43 , Issue.2 , pp. 268292
    • Feige, U.1    Goldwasser, S.2    Lovász, L.3
  • 15
    • 51249163193 scopus 로고
    • Separating PH from PP by relativization
    • Bin Fu Separating PH from PP by relativization Acta Mathematica Sinica 8 3 1992 329 336
    • (1992) Acta Mathematica Sinica , vol.8 , Issue.3 , pp. 329-336
    • Fu, B.1
  • 16
    • 0001009871 scopus 로고
    • / 2 algorithm for maximum matchings in bipartite graphs
    • / 2 algorithm for maximum matchings in bipartite graphs SIAM Journal on Computing 2 4 1973 225 231
    • (1973) SIAM Journal on Computing , vol.2 , Issue.4 , pp. 225-231
    • Hopcroft, J.E.1    Karp, R.M.2
  • 17
    • 0038107689 scopus 로고    scopus 로고
    • Derandomizing polynomial identity tests means proving circuit lower bounds
    • Valentine Kabanets, and Russell Impagliazzo Derandomizing polynomial identity tests means proving circuit lower bounds STOC 2003 355 364
    • (2003) STOC , pp. 355-364
    • Kabanets, V.1    Impagliazzo, R.2
  • 18
    • 0034825853 scopus 로고    scopus 로고
    • Learning DNF in time 2O
    • Adam Klivans, and Rocco A. Servedio Learning DNF in time 2O(n 1) STOC 2001 258 265
    • (2001) STOC , pp. 258-265
    • Klivans, A.1    Servedio, R.A.2
  • 22
    • 0029513529 scopus 로고
    • Splitters and near-optimal derandomization
    • Moni Naor, Leonard J. Schulman, and Aravind Srinivasan Splitters and near-optimal derandomization FOCS 1995 182 191
    • (1995) FOCS , pp. 182-191
    • Naor, M.1    Schulman, L.J.2    Srinivasan, A.3
  • 24
    • 18244365341 scopus 로고    scopus 로고
    • Deterministic polynomial identity testing in non-commutative models
    • Ran Raz, and Amir Shpilka Deterministic polynomial identity testing in non-commutative models Computational Complexity 14 1 2005 1 19
    • (2005) Computational Complexity , vol.14 , Issue.1 , pp. 1-19
    • Raz, R.1    Shpilka, A.2
  • 25
    • 0001038743 scopus 로고
    • Algorithms for maximum independent sets
    • J.M. Robson Algorithms for maximum independent sets Journal of Algorithms 7 3 1986 425 440
    • (1986) Journal of Algorithms , vol.7 , Issue.3 , pp. 425-440
    • Robson, J.M.1
  • 26
    • 0026930543 scopus 로고
    • IP = PSPACE
    • Adi Shamir IP = PSPACE Journal of the ACM 39 4 1992 869 877
    • (1992) Journal of the ACM , vol.39 , Issue.4 , pp. 869-877
    • Shamir, A.1
  • 27
    • 49249151236 scopus 로고
    • The complexity of computing the permanent
    • L. Valiant The complexity of computing the permanent Theoretical Computer Science 8 1979 189 201
    • (1979) Theoretical Computer Science , vol.8 , pp. 189-201
    • Valiant, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.