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Volumn 3718 LNCS, Issue , 2005, Pages 13-31

Computing the betti numbers of arrangements in practice

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; ALGORITHMS; COMPUTATIONAL COMPLEXITY; DIGITAL ARITHMETIC; POLYNOMIALS; SET THEORY;

EID: 33744906081     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/11555964_2     Document Type: Conference Paper
Times cited : (2)

References (16)
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    • (1984) SIAM J. Comput. , vol.13 , Issue.4 , pp. 865-877
    • Arnon, D.S.1    Collins, G.E.2    McCallum, S.3
  • 2
    • 0021522643 scopus 로고
    • Cylindrical algebraic decomposition. II. An adjacency algorithm for the plane
    • D. S. Arnon, G. E. Collins, and S. McCallum. Cylindrical algebraic decomposition. II. An adjacency algorithm for the plane. SIAM J. Comput., 13(4):878-889, 1984.
    • (1984) SIAM J. Comput. , vol.13 , Issue.4 , pp. 878-889
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  • 3
    • 0001092841 scopus 로고
    • An adjacency algorithm for cylindrical algebraic decompositions of three-dimensional space
    • D. S. Arnon, G. E. Collins, and S. McCallum. An adjacency algorithm for cylindrical algebraic decompositions of three-dimensional space. J. Symbolic Comput., 5(1-2): 163-187, 1988.
    • (1988) J. Symbolic Comput. , vol.5 , Issue.1-2 , pp. 163-187
    • Arnon, D.S.1    Collins, G.E.2    McCallum, S.3
  • 4
    • 0142059904 scopus 로고    scopus 로고
    • Computing the Betti numbers of arrangements via spectral sequences
    • Special issue on STOC2002 (Montreal, QC)
    • S. Basu. Computing the Betti numbers of arrangements via spectral sequences. J. Comput. System Sci., 67(2):244-262, 2003. Special issue on STOC2002 (Montreal, QC).
    • (2003) J. Comput. System Sci. , vol.67 , Issue.2 , pp. 244-262
    • Basu, S.1
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    • 33744900315 scopus 로고    scopus 로고
    • An overview of QEPCAD B: A tool for real quantifier elimination and formula simplification
    • C. W. Brown. An overview of QEPCAD B: a tool for real quantifier elimination and formula simplification. Journal of Japan Society for Symbolic and Algebraic Computation, 10(1):13-22, 2003.
    • (2003) Journal of Japan Society for Symbolic and Algebraic Computation , vol.10 , Issue.1 , pp. 13-22
    • Brown, C.W.1
  • 11
    • 0026191608 scopus 로고
    • A singly-exponential stratification scheme for real semi-algebraic varieties and its applications
    • B. Chazelle, H. Edelsbrunner, L. J. Guibas, and M. Sharir. A singly-exponential stratification scheme for real semi-algebraic varieties and its applications. Theoretical Computer Science, 84:77-105, 1991.
    • (1991) Theoretical Computer Science , vol.84 , pp. 77-105
    • Chazelle, B.1    Edelsbrunner, H.2    Guibas, L.J.3    Sharir, M.4
  • 12
    • 85029837057 scopus 로고
    • Quantifier elimination for real closed fields by cylindrical algebraic decomposition
    • Lecture Notes in Comput. Sci.
    • G. E. Collins. Quantifier elimination for real closed fields by cylindrical algebraic decomposition. In Automata theory and formal languages (Second GI Conf., Kaiserslautern, 1975), pages 134-183. Lecture Notes in Comput. Sci., Vol. 33. Springer, Berlin, 1975.
    • (1975) Automata Theory and Formal Languages (Second GI Conf., Kaiserslautern, 1975) , vol.33 , pp. 134-183
    • Collins, G.E.1
  • 13
    • 51249162203 scopus 로고
    • The union of balls and its dual shape
    • H. Edelsbrunner. The union of balls and its dual shape. Discrete Comput. Geom., 13(3-4):415-440, 1995.
    • (1995) Discrete Comput. Geom. , vol.13 , Issue.3-4 , pp. 415-440
    • Edelsbrunner, H.1
  • 14
    • 0041704763 scopus 로고    scopus 로고
    • Algorithms to compute the topology of orientable real algebraic surfaces
    • E. Fortuna, P. Gianni, P. Parenti, and C. Traverso. Algorithms to compute the topology of orientable real algebraic surfaces. J. Symbolic Comput., 36(3-4):343-364, 2003.
    • (2003) J. Symbolic Comput. , vol.36 , Issue.3-4 , pp. 343-364
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  • 15
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    • Arrangements
    • CRC Press Ser. Discrete Math. Appl., CRC, Boca Raton, FL
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    • Halperin, D.1
  • 16
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    • Sharp bounds for vertical decompositions of linear arrangements in four dimensions
    • V. Koltun. Sharp bounds for vertical decompositions of linear arrangements in four dimensions. Discrete Comput. Geom., 31(3):435-460, 2004.
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    • Koltun, V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.