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Volumn Part F129502, Issue , 1994, Pages 615-624

Decision tree complexity and betti numbers

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; DECISION THEORY; GEOMETRY; MATHEMATICAL MODELS; OPTIMIZATION; SET THEORY; TOPOLOGY; TREES (MATHEMATICS);

EID: 0027940782     PISSN: 07378017     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/195058.195414     Document Type: Conference Paper
Times cited : (38)

References (21)
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  • 2
    • 0000175653 scopus 로고
    • Subspace arrangements
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    • (1992) Proceedings of the 1st European Congress of Mathematics
    • Bjorner, A.1
  • 4
    • 0026979103 scopus 로고
    • Linear decision trees: Volume estimates and topological bounds
    • [BLY92], May
    • [BLY92] A. Bjorner, L. Lovasz, and A. Yao, "Linear decision trees: volume estimates and topological bounds, " Proceedings of 24th STOC, May 1992, 170-177.
    • (1992) Proceedings of 24th STOC , pp. 170-177
    • Bjorner, A.1    Lovasz, L.2    Yao, A.3
  • 7
    • 85037141978 scopus 로고
    • On the complexity of computations under varying sets of primitives
    • [DL75], edited by H. Bradhage, Springer-Verlag
    • [DL75] D. Dobkin and R.J. Lipton, "On the complexity of computations under varying sets of primitives, " in Lecture Notes in Computer Science, Volume 33, edited by H. Bradhage, Springer-Verlag (1975), 110-117.
    • (1975) Lecture Notes in Computer Science , vol.33 , pp. 110-117
    • Dobkin, D.1    Lipton, R.J.2
  • 11
    • 0000516514 scopus 로고
    • Triangulation of algebraic sets
    • [Hi75], American Mathematical Society
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    • (1975) Proceedings of Symposia in Pure Mathematics , vol.29 , pp. 165-185
    • Hironaka, H.1
  • 12
    • 85031319541 scopus 로고    scopus 로고
    • On algebraic computation trees and betti numbers
    • [HS93], Saarbruecken/Kaiserslautern, Germany
    • [HS93] G. Hotz and J. Sellen, "On algebraic computation trees and Betti numbers, " Technical Report No. 10/93, Sonderforschungs- bereich 124, Saarbruecken/Kaiserslautern, Germany.
    • Technical Report No. 10/93, Sonderforschungs- Bereich , vol.124
    • Hotz, G.1    Sellen, J.2
  • 14
    • 84966260816 scopus 로고
    • On the Betti numbers of real varieties
    • [Mi64]
    • [Mi64] J. Milnor, "On the Betti numbers of real varieties, " Proc. Amer. Math. Soc. 15 (1964), 275-280.
    • (1964) Proc. Amer. Math. Soc. , vol.15 , pp. 275-280
    • Milnor, J.1
  • 15
    • 0001632852 scopus 로고
    • Estimates of the betti numbers of real algebraic hypersurfaces
    • (Russian)
    • O.A. Oleinik, "Estimates of the Betti numbers of real algebraic hypersurfaces, " Mat. Sbornik (N.S.) 28 (1951), 635-640 (in Russian).
    • (1951) Mat. Sbornik (N.S.) , vol.28 , pp. 635-640
    • Oleinik, O.A.1
  • 16
    • 0001435982 scopus 로고
    • On the topology of real algebraic surfaces
    • [OP49], (in Russian). (Transl. Amer. Math. Soc. (1) 7 (1962), 399-417)
    • [OP49] O.A. Oleinik and I.B. Petrovsky, "On the topology of real algebraic surfaces, " Izv. Akad. Nauk SSSR 13 (1949), 389-402 (in Russian). (Transl. Amer. Math. Soc. (1) 7 (1962), 399-417.).
    • (1949) Izv. Akad. Nauk SSSR , vol.13 , pp. 389-402
    • Oleinik, O.A.1    Petrovsky, I.B.2
  • 19
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    • Lower bounds for algebraic decision trees
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    • (1982) J. Algorithms , vol.3 , pp. 1-8
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  • 20
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  • 21
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    • Algebraic decision trees and Euler characteristics
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    • [Y92] A. Yao, "Algebraic decision trees and Euler characteristics, " Proceedings of 33rd FOCS, October 1992, 268-277.
    • (1992) Proceedings of 33rd FOCS , pp. 268-277
    • Yao, A.1


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