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Volumn 17, Issue 2, 2003, Pages 249-253

Convex matroid optimization

Author keywords

Cluster; Combinatorial optimization; Convex; Greedy algorithm; Matroid; Optimization; Partition; Polynomial time; Polytope; Quadratic assignment; Strongly polynomial time

Indexed keywords

COMBINATORIAL OPTIMIZATION; CONVEX FUNCTIONALS; GREEDY ALGORITHMS; PARTITION; POLYNOMIAL TIME; POLYTOPES; QUADRATIC ASSIGNMENT; STRONGLY POLYNOMIAL TIMES;

EID: 2542470893     PISSN: 08954801     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0895480102408559     Document Type: Article
Times cited : (14)

References (11)
  • 1
    • 0002170343 scopus 로고    scopus 로고
    • Separable partitions
    • N. ALON AND S. ONN, Separable partitions, Discrete Appl. Math., 91 (1999), pp. 39-51.
    • (1999) Discrete Appl. Math. , vol.91 , pp. 39-51
    • Alon, N.1    Onn, S.2
  • 2
    • 0036004021 scopus 로고    scopus 로고
    • Momentopes and the vertex complexity of partition polytopes
    • S. AVIRAN AND S. ONN, Momentopes and the vertex complexity of partition polytopes, Discrete Comput. Geom., 27 (2002), pp. 409-417.
    • (2002) Discrete Comput. Geom. , vol.27 , pp. 409-417
    • Aviran, S.1    Onn, S.2
  • 3
    • 2542428180 scopus 로고    scopus 로고
    • A polynomial case of unconstrained zero-one quadratic optimization
    • K. ALLEMAND, K. FUKUDA, T. M. LIEBLING, AND E. STEINER, A polynomial case of unconstrained zero-one quadratic optimization, Math. Program., 91 (2001), pp. 49-52.
    • (2001) Math. Program. , vol.91 , pp. 49-52
    • Allemand, K.1    Fukuda, K.2    Liebling, T.M.3    Steiner, E.4
  • 5
    • 0022714544 scopus 로고
    • Constructing arrangements of lines and hyperplanes with applications
    • H. EDELSBRUNNER, J. O'ROURKE, AND R. SEIDEL, Constructing arrangements of lines and hyperplanes with applications, SIAM J. Comput., 15 (1986), pp. 341-363.
    • (1986) SIAM J. Comput. , vol.15 , pp. 341-363
    • Edelsbrunner, H.1    O'Rourke, J.2    Seidel, R.3
  • 6
    • 84891956234 scopus 로고
    • On the zone theorem for hyperplane arrangements
    • New Results and Trends in Computer Science, Springer, Berlin
    • H. EDELSBRUNNER, R. SEIDEL, AND M. SHARIR, On the zone theorem for hyperplane arrangements, in New Results and Trends in Computer Science, Lecture Notes in Comput. Sci. 555, Springer, Berlin, 1991, pp. 108-123.
    • (1991) Lecture Notes in Comput. Sci. , vol.555 , pp. 108-123
    • Edelsbrunner, H.1    Seidel, R.2    Sharir, M.3
  • 7
    • 0001734192 scopus 로고
    • Minkowski addition of poly topes: Complexity and applications to Gröbner bases
    • P. GRITZMANN AND B. STURMFELS, Minkowski addition of poly topes: Complexity and applications to Gröbner bases, SIAM J. Discrete Math., 6 (1993), pp. 246-269.
    • (1993) SIAM J. Discrete Math. , vol.6 , pp. 246-269
    • Gritzmann, P.1    Sturmfels, B.2
  • 8
    • 2542493765 scopus 로고    scopus 로고
    • Maximizing the product of two linear functions in 0 - 1 variables
    • Rutgers University, Piscataway, NJ
    • L. P. HAMMER, P. HANSEN, P. M. PARDALOS, AND D. J. RADER, Maximizing the Product of Two Linear Functions in 0 - 1 Variables, RUTCOR research report 2-97, Rutgers University, Piscataway, NJ, 1997.
    • (1997) RUTCOR Research Report , vol.2 , Issue.97
    • Hammer, L.P.1    Hansen, P.2    Pardalos, P.M.3    Rader, D.J.4
  • 9
    • 84974054501 scopus 로고
    • The number of partitions of a set of n points in k dimensions induced by hyperplanes
    • E. F. HARDING, The number of partitions of a set of n points in k dimensions induced by hyperplanes, Proc. Edinburgh Math. Soc. (2), 15 (1966/1967), pp. 285-289.
    • (1966) Proc. Edinburgh Math. Soc. (2) , vol.15 , pp. 285-289
    • Harding, E.F.1
  • 10
    • 0033271978 scopus 로고    scopus 로고
    • A polynomial time algorithm for shaped partition problems
    • F. K. HWANG, S. ONN, AND U. G. ROTHBLUM, A polynomial time algorithm for shaped partition problems, SIAM J. Optim., 10 (1999), pp. 70-81.
    • (1999) SIAM J. Optim. , vol.10 , pp. 70-81
    • Hwang, F.K.1    Onn, S.2    Rothblum, U.G.3
  • 11
    • 0035435181 scopus 로고    scopus 로고
    • The vector partition problem for convex objective functions
    • S. ONN AND L. J. SCHULMAN, The vector partition problem for convex objective functions, Math. Oper. Res., 26 (2001), pp. 583-590.
    • (2001) Math. Oper. Res. , vol.26 , pp. 583-590
    • Onn, S.1    Schulman, L.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.