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Volumn 07-09-January-2007, Issue , 2007, Pages 1275-1284

Approximation algorithms for prize collecting forest problems with submodular penalty functions

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; FORESTRY;

EID: 77952372737     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (33)

References (13)
  • 1
    • 84987028582 scopus 로고
    • The prize collecting traveling salesman problem
    • [Bal89]
    • [Bal89] Egon Balas. The prize collecting traveling salesman problem. Networks, 19:621-636, 1989.
    • (1989) Networks , vol.19 , pp. 621-636
    • Balas, E.1
  • 2
    • 34250073835 scopus 로고
    • A note on the prize collecting traveling salesman problem
    • [BGSLW93]
    • [BGSLW93] Daniel Bienstock, Michel X. Goemans, David Simchi-Levi, and David P. Williamson. A note on the prize collecting traveling salesman problem. Math. Programming, 59:413-420, 1993.
    • (1993) Math. Programming , vol.59 , pp. 413-420
    • Bienstock, D.1    Goemans, M.X.2    Simchi-Levi, D.3    Williamson, D.P.4
  • 3
    • 0002167079 scopus 로고
    • Submodular functions, matroids, and certain polyhedra
    • [Edm70] R. Guy, H. Hanani, N. Sauer, and J. Schönheim, editors
    • [Edm70] Jack Edmonds. Submodular functions, matroids, and certain polyhedra. In R. Guy, H. Hanani, N. Sauer, and J. Schönheim, editors, Combinatorial Structures and Their Applications, pages 68-87, 1970.
    • (1970) Combinatorial Structures and Their Applications , pp. 68-87
    • Edmonds, J.1
  • 6
    • 0029289832 scopus 로고
    • A general approximation technique for constrained forest problems
    • [GW95]
    • [GW95] Michel X. Goemans and David P. Williamson. A general approximation technique for constrained forest problems. SIAM J. Comput., 24(2):296-317, 1995.
    • (1995) SIAM J. Comput. , vol.24 , Issue.2 , pp. 296-317
    • Goemans, M.X.1    Williamson, D.P.2
  • 7
    • 33244475600 scopus 로고    scopus 로고
    • The prize-collecting generalized Steiner tree problem via a new approach of primal-dual schema
    • [HJ06]
    • [HJ06] M.T. Hajiaghayi and K. Jain. The prize-collecting generalized Steiner tree problem via a new approach of primal-dual schema. In SODA, pages 631-640, 2006.
    • (2006) SODA , pp. 631-640
    • Hajiaghayi, M.T.1    Jain, K.2
  • 8
    • 20744442562 scopus 로고    scopus 로고
    • Network design for information networks
    • [HST05]
    • [HST05] Ara Hayrapetyan, Chaitanya Swamy, and Éva Tardos. Network design for information networks. In SODA, pages 933-942, 2005.
    • (2005) SODA , pp. 933-942
    • Hayrapetyan, A.1    Swamy, C.2    Tardos, É.3
  • 9
    • 0000335630 scopus 로고    scopus 로고
    • A combinatorial strongly polynomial algorithm for minimizing submodular functions
    • [IFF01]
    • [IFF01] S. Iwata, L. Fleischer, and S. Fujishige. A combinatorial strongly polynomial algorithm for minimizing submodular functions. J. ACM, 48(4):761-777, 2001.
    • (2001) J. ACM , vol.48 , Issue.4 , pp. 761-777
    • Iwata, S.1    Fleischer, L.2    Fujishige, S.3
  • 10
    • 0005363324 scopus 로고    scopus 로고
    • A factor 2 approximation algorithm for the generalized Steiner network problem
    • [Jai01]
    • [Jai01] Kamal Jain. A factor 2 approximation algorithm for the generalized Steiner network problem. Combinatorica, 21(1):39-60, 2001.
    • (2001) Combinatorica , vol.21 , Issue.1 , pp. 39-60
    • Jain, K.1
  • 11
    • 0033907922 scopus 로고    scopus 로고
    • The prize collecting Steiner tree problem: Theory and practice
    • [JMP00]
    • [JMP00] David S. Johnson, Maria Minkoff, and Steven Phillips. The prize collecting Steiner tree problem: theory and practice. In SODA, pages 760-769, 2000.
    • (2000) SODA , pp. 760-769
    • Johnson, D.S.1    Minkoff, M.2    Phillips, S.3
  • 13
    • 0034311821 scopus 로고    scopus 로고
    • A combinatorial algorithm minimizing submodular functions in strongly polynomial time
    • [Sch00]
    • [Sch00] A. Schrijver. A combinatorial algorithm minimizing submodular functions in strongly polynomial time. J. Comb. Theory, Ser. B, 80(2):346-355, 2000.
    • (2000) J. Comb. Theory, Ser. B , vol.80 , Issue.2 , pp. 346-355
    • Schrijver, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.