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Volumn , Issue , 2000, Pages 48-57

A deterministic polynomial-time algorithm for approximating mixed discriminant and mixed volume

Author keywords

[No Author keywords available]

Indexed keywords

CONVEX BODY; DOUBLY STOCHASTIC MATRIX; MULTIPLICATIVE FACTORS; N-TUPLES; POLYNOMIAL ALGORITHM; POLYNOMIAL-TIME ALGORITHMS; POSITIVE SEMIDEFINITE MATRICES; UPPER AND LOWER BOUNDS; SEMIDEFINITE MATRICES; VAN DER WAERDEN-FALIKMAN-EGORYCHEV THEORY;

EID: 0033727271     PISSN: 07378017     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/335305.335311     Document Type: Conference Paper
Times cited : (19)

References (22)
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  • 5
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    • Computing Mixed Discriminants, Mixed Volumes, and Permanents
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    • Barvinok, A.I.1
  • 6
    • 0033479677 scopus 로고    scopus 로고
    • A simple polynomial time algorithm to approximate permanents and mixed discriminants within a simply exponential factor
    • A. I. Barvinok, A simple polynomial time algorithm to approximate permanents and mixed discriminants within a simply exponential factor, Random Structures and Alg., 14:29-61, 1999.
    • (1999) Random Structures and Alg. , vol.14 , pp. 29-61
    • Barvinok, A.I.1
  • 7
    • 0024091845 scopus 로고
    • The complexity of computing the volume of a polyhedron
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    • Dyer, M.1    Frieze, A.2
  • 8
    • 0001599636 scopus 로고    scopus 로고
    • On the complexity of computing mixed volumes
    • M. Dyer, P. Gritzmann and A. Hufnagel, On the complexity of computing mixed volumes, SIAM J. Comput., 27(2):356-400, 1998. (Pubitemid 128497661)
    • (1998) SIAM Journal on Computing , vol.27 , Issue.2 , pp. 356-400
    • Dyer, M.1    Gritzmann, P.2    Hufnagel, A.3
  • 9
    • 0002167079 scopus 로고
    • Submodular functions, matroids, and certain polyhedra
    • R. Guy, H. Hanani, N. Sauer and J. Schönheim, eds., Gordon and Breach, New York
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    • (1970) Combinatorial Structures and Their Applications , pp. 69-87
    • Edmonds, J.1
  • 10
    • 0001444508 scopus 로고
    • The solution of van der Waerden's problem for permanents
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    • Egorychev, G.P.1
  • 11
    • 0001255036 scopus 로고
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    • D. I. Falikman, Proof of the van der Waerden's conjecture on the permanent of a doubly stochastic matrix, Mat. Zametki 29(6):931-938, 957, 1981, (in Russian).
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    • Falikman, D.I.1
  • 12
    • 0012963385 scopus 로고
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  • 15
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  • 17
  • 18
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  • 20
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  • 22
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.