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Volumn 11, Issue 4, 2000, Pages 839-850

Enumeration of linear threshold functions from the lattice of hyperplane intersections

Author keywords

[No Author keywords available]

Indexed keywords

BOOLEAN FUNCTIONS; COMBINATORIAL MATHEMATICS; COMPUTATIONAL COMPLEXITY; COMPUTATIONAL GEOMETRY; EQUIVALENCE CLASSES; VECTORS;

EID: 0034227416     PISSN: 10459227     EISSN: None     Source Type: Journal    
DOI: 10.1109/72.857765     Document Type: Article
Times cited : (38)

References (17)
  • 1
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    • W. Y. C. Chen, "Induced cycle structures of the hyperoctahedral group," SIAM J. Disc. Math., vol. 6, no. 3, pp. 353-362, Aug. 1993.
    • (1993) SIAM J. Disc. Math. , vol.6 , Issue.3 , pp. 353-362
    • Chen, W.Y.C.1
  • 2
    • 2442417877 scopus 로고
    • On the characterization of threshold functions
    • Sept.
    • C. K. Chow, "On the characterization of threshold functions," Switching Circuit Theory and Logical Design, vol. S-134, pp. 34-38, Sept. 1961.
    • (1961) Switching Circuit Theory and Logical Design , vol.S-134 , pp. 34-38
    • Chow, C.K.1
  • 3
    • 84918441630 scopus 로고
    • Geometric and statistical properties of systems of linear inequalities with applications in pattern recognition
    • June
    • T. M. Cover, "Geometric and statistical properties of systems of linear inequalities with applications in pattern recognition," IEEE Trans. Electron. Comput., vol. EC-14, pp. 326-334, June 1965.
    • (1965) IEEE Trans. Electron. Comput. , vol.EC-14 , pp. 326-334
    • Cover, T.M.1
  • 8
    • 0006092373 scopus 로고
    • Lower bounds on the number of threshold functions and a maximum weight
    • Apr.
    • S. Muroga, "Lower bounds on the number of threshold functions and a maximum weight," IEEE Trans. Electron. Comput., vol. EC-14, pp. 136-148, Apr. 1965.
    • (1965) IEEE Trans. Electron. Comput. , vol.EC-14 , pp. 136-148
    • Muroga, S.1
  • 9
    • 0014840929 scopus 로고
    • Enumeration of threshold functions of eight variables
    • S. Muroga, T. Tsuboi, and C. R. Baugh, "Enumeration of threshold functions of eight variables," IEEE Trans. Electron. Comput., vol. EC-19, pp. 818-825, 1970.
    • (1970) IEEE Trans. Electron. Comput. , vol.EC-19 , pp. 818-825
    • Muroga, S.1    Tsuboi, T.2    Baugh, C.R.3
  • 13
    • 1542335959 scopus 로고
    • Enumeration of seven-argument threshold functions
    • June
    • R. O. Winder, "Enumeration of seven-argument threshold functions," IEEE Trans. Electron. Comput., vol. EC-14, pp. 315-325, June 1965.
    • (1965) IEEE Trans. Electron. Comput. , vol.EC-14 , pp. 315-325
    • Winder, R.O.1
  • 14
    • 0000034025 scopus 로고
    • Partitions of n-space by hyperplanes
    • _, "Partitions of n-space by hyperplanes," J. SIAM Appl. Math., vol. 14, no. 4, pp. 811-818, 1966.
    • (1966) J. SIAM Appl. Math. , vol.14 , Issue.4 , pp. 811-818
  • 15
    • 33749877497 scopus 로고
    • Correction to 'Enumeration of seven-argument threshold functions'
    • Apr.
    • _, "Correction to 'Enumeration of seven-argument threshold functions'," IEEE Trans. Electron. Comput., vol. EC-16, p. 231, Apr. 1967.
    • (1967) IEEE Trans. Electron. Comput. , vol.EC-16 , pp. 231
  • 16
    • 0001575794 scopus 로고
    • Facing up to arrangements: Face-count formulas for partitions of space by hyperplanes
    • Jan.
    • T. Zaslavsky, "Facing up to arrangements: Face-count formulas for partitions of space by hyperplanes," Mem. Amer. Math. Soc., vol. 1, no. 154, pp. 1-101, Jan. 1975.
    • (1975) Mem. Amer. Math. Soc. , vol.1 , Issue.154 , pp. 1-101
    • Zaslavsky, T.1
  • 17
    • 0042304895 scopus 로고
    • Asymptotics of the logarithm of the number of threshold functions of the algebra of logicSov
    • Y. A. Zuev, "Asymptotics of the logarithm of the number of threshold functions of the algebra of logic," Sov. Math. Dok., vol. 39, no. 3, pp. 512-513, 1989.
    • (1989) Math. Dok. , vol.39 , Issue.3 , pp. 512-513
    • Zuev, Y.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.