메뉴 건너뛰기




Volumn 30, Issue 2, 2005, Pages 453-461

Submodularity, supermodularity, and higher-order monotonicities of pseudo-boolean functions

Author keywords

Boolean functions; Discrete derivatives; Functional equations; Functional inequalities; Local closure; Minors; Post classes; Pseudo boolean functions; Set functions; Submodularity; Supermodularity

Indexed keywords

LOCAL CLOSURE; MINORS; POST CLASSES; SET FUNCTIONS; SUBMODULARITY;

EID: 31144471753     PISSN: 0364765X     EISSN: 15265471     Source Type: Journal    
DOI: 10.1287/moor.1040.0128     Document Type: Review
Times cited : (29)

References (12)
  • 1
    • 0038877182 scopus 로고
    • A characterization of a cone of pseudo-Boolean functions via supermodularity-type inequalities
    • P. Kall, J. Kohlas, W. Popp, C. A. Zehnder, eds. Springer-Verlag, Berlin-Heidelberg
    • Crama, Y., P. L. Hammer, R. Holzman. 1989. A characterization of a cone of pseudo-Boolean functions via supermodularity-type inequalities. P. Kall, J. Kohlas, W. Popp, C. A. Zehnder, eds. Quantitative Methoden in den Wirtschaftswissenschaften. Springer-Verlag, Berlin-Heidelberg, 53-55.
    • (1989) Quantitative Methoden in Den Wirtschaftswissenschaften , pp. 53-55
    • Crama, Y.1    Hammer, P.L.2    Holzman, R.3
  • 2
    • 0000095809 scopus 로고
    • An analysis of the approximations for maximizing submodular set functions - I
    • Fisher, M., G. Nemhauser, L. Wolsey. 1978. An analysis of the approximations for maximizing submodular set functions - I. Math. Programming 14 265-294.
    • (1978) Math. Programming , vol.14 , pp. 265-294
    • Fisher, M.1    Nemhauser, G.2    Wolsey, L.3
  • 3
    • 0003319854 scopus 로고
    • Submodular functions and optimization
    • North-Holland, Amsterdam, The Netherlands
    • Fujishige, S. 1991. Submodular functions and optimization. Annals of Discrete Mathematics, Vol. 47. North-Holland, Amsterdam, The Netherlands.
    • (1991) Annals of Discrete Mathematics , vol.47
    • Fujishige, S.1
  • 6
    • 0000335630 scopus 로고    scopus 로고
    • A strongly polynomial-time algorithm for minimizing submodular functions
    • Iwata, S., L. Fleischer, S. Fujishige. 2001. A strongly polynomial-time algorithm for minimizing submodular functions. J. ACM 48 761-777.
    • (2001) J. ACM , vol.48 , pp. 761-777
    • Iwata, S.1    Fleischer, L.2    Fujishige, S.3
  • 7
    • 0002716901 scopus 로고
    • Submodular functions and convexity
    • A. Bachem, M. Groetschel, B. Korte, eds., Springer, Berlin, Germany
    • Lovasz, L. 1983. Submodular functions and convexity. A. Bachem, M. Groetschel, B. Korte, eds., Mathematical Programming - The State of the Art. Springer, Berlin, Germany.
    • (1983) Mathematical Programming - the State of the Art
    • Lovasz, L.1
  • 9
    • 0003307361 scopus 로고    scopus 로고
    • Submodular functions and electrical networks
    • North-Holland, Amsterdam, The Netherlands
    • Narayanan, H. 1997. Submodular functions and electrical networks. Annals of Discrete Mathematics, Vol. 54. North-Holland, Amsterdam, The Netherlands.
    • (1997) Annals of Discrete Mathematics , vol.54
    • Narayanan, H.1
  • 10
    • 0034311821 scopus 로고    scopus 로고
    • A combinatorial algorithm for minimizing submodular functions in strongly polynomial time
    • Schrijver, A. 2000. A combinatorial algorithm for minimizing submodular functions in strongly polynomial time. J. Combinatorial Theory B 80 346-355.
    • (2000) J. Combinatorial Theory B , vol.80 , pp. 346-355
    • Schrijver, A.1
  • 11
    • 0001255447 scopus 로고
    • A value for n-person games
    • Shapley, L. S. 1953. A value for n-person games. Ann. Math. Stud. 28 307-317.
    • (1953) Ann. Math. Stud. , vol.28 , pp. 307-317
    • Shapley, L.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.