메뉴 건너뛰기




Volumn 165, Issue 3, 2005, Pages 555-568

Polynomial approximation algorithms with performance guarantees: An introduction-by-example

Author keywords

Combinatorial optimization; Complexity theory; Computing science; Traveling salesman

Indexed keywords

ALGORITHMS; COMBINATORIAL MATHEMATICS; COMPUTATIONAL COMPLEXITY; COMPUTER SCIENCE; OPTIMIZATION; PERFORMANCE; TRAVELING SALESMAN PROBLEM;

EID: 13444263504     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ejor.2004.03.021     Document Type: Article
Times cited : (2)

References (32)
  • 1
    • 0030413554 scopus 로고    scopus 로고
    • Polynomial time approximation schemes for Euclidean TSP and other geometric problems
    • S. Arora, Polynomial time approximation schemes for Euclidean TSP and other geometric problems, in: Proc. FOCS'96, 1996, pp. 2-11
    • (1996) Proc. FOCS'96 , pp. 2-11
    • Arora, S.1
  • 2
    • 0033077325 scopus 로고    scopus 로고
    • Polynomial time approximation schemes for dense instances of NP-hard problems
    • Arora S., Karger D., Karpinski M. Polynomial time approximation schemes for dense instances of NP-hard problems. Journal of Computer and System Sciences. 58:1999;193-210
    • (1999) Journal of Computer and System Sciences , vol.58 , pp. 193-210
    • Arora, S.1    Karger, D.2    Karpinski, M.3
  • 6
    • 0002392504 scopus 로고
    • A local-ratio theorem for approximating the weighted vertex cover problem
    • Bar-Yehuda R., Even S. A local-ratio theorem for approximating the weighted vertex cover problem. Annals of Discrete Applied Mathematics. 25:1985;27-46
    • (1985) Annals of Discrete Applied Mathematics , vol.25 , pp. 27-46
    • Bar-Yehuda, R.1    Even, S.2
  • 8
    • 0001159084 scopus 로고
    • Approximating maximum independent sets by excluding subgraphs
    • Boppana B.B., Halldórsson M.M. Approximating maximum independent sets by excluding subgraphs. BIT. 32(2):1992;180-196
    • (1992) BIT , vol.32 , Issue.2 , pp. 180-196
    • Boppana, B.B.1    Halldórsson, M.M.2
  • 9
    • 0003522094 scopus 로고
    • Worst-case analysis of a new heuristic for the traveling salesman problem
    • Grad. School of Industrial Administration, CMU
    • N. Christofides, Worst-case analysis of a new heuristic for the traveling salesman problem, Technical Report 388, Grad. School of Industrial Administration, CMU, 1976
    • (1976) Technical Report , vol.388
    • Christofides, N.1
  • 10
    • 0000301097 scopus 로고
    • A greedy-heuristic for the set covering problem
    • Chvátal V. A greedy-heuristic for the set covering problem. Mathematics of Operations Research. 4:1979;233-235
    • (1979) Mathematics of Operations Research , vol.4 , pp. 233-235
    • Chvátal, V.1
  • 11
    • 13444308122 scopus 로고
    • Tight bounds for Christofides' traveling salesman heuristic
    • Cornuejols G., Nemhauser G.L. Tight bounds for Christofides' traveling salesman heuristic. Mathematical Programming. 14:1978;116-121
    • (1978) Mathematical Programming , vol.14 , pp. 116-121
    • Cornuejols, G.1    Nemhauser, G.L.2
  • 13
    • 0038723932 scopus 로고    scopus 로고
    • Improved approximations for maximum independent set via approximation chains
    • Demange M., Paschos V.Th. Improved approximations for maximum independent set via approximation chains. Applied Mathematics Letters. 10(3):1997;105-110
    • (1997) Applied Mathematics Letters , vol.10 , Issue.3 , pp. 105-110
    • Demange, M.1    Paschos, V.Th.2
  • 15
    • 84879532416 scopus 로고    scopus 로고
    • Approximation hardness of TSP with bounded metrics
    • Proc. ICALP'01 Springer
    • L. Engebretsen, M. Karpinski, Approximation hardness of TSP with bounded metrics, in: Proc. ICALP'01, Lecture Notes in Computer Science, vol. 2076, Springer, 2001, pp. 201-212
    • (2001) Lecture Notes in Computer Science , vol.2076 , pp. 201-212
    • Engebretsen, L.1    Karpinski, M.2
  • 17
    • 0002010884 scopus 로고    scopus 로고
    • Approximations of weighted independent set and hereditary subset problems
    • Halldórsson M.M. Approximations of weighted independent set and hereditary subset problems. Journal of Graph Algorithms and Applications. 4(1):2000;1-16
    • (2000) Journal of Graph Algorithms and Applications , vol.4 , Issue.1 , pp. 1-16
    • Halldórsson, M.M.1
  • 19
    • 0016349356 scopus 로고
    • Approximation algorithms for combinatorial problems
    • Johnson D.S. Approximation algorithms for combinatorial problems. Journal of Computer and System Sciences. 9:1974;256-278
    • (1974) Journal of Computer and System Sciences , vol.9 , pp. 256-278
    • Johnson, D.S.1
  • 21
    • 0242301652 scopus 로고    scopus 로고
    • Polynomial time approximation schemes for some dense instances of NP-hard problems
    • Karpinski M. Polynomial time approximation schemes for some dense instances of NP-hard problems. Algorithmica. 30:2001;386-397
    • (2001) Algorithmica , vol.30 , pp. 386-397
    • Karpinski, M.1
  • 23
    • 0000203509 scopus 로고
    • On the ratio of optimal integral and fractional covers
    • Lovász L. On the ratio of optimal integral and fractional covers. Discrete Mathematics. 13:1975;383-390
    • (1975) Discrete Mathematics , vol.13 , pp. 383-390
    • Lovász, L.1
  • 24
    • 0022045936 scopus 로고
    • Ramsey numbers and an approximation algorithm for the vertex cover problem
    • Monien B., Speckenmeyer E. Ramsey numbers and an approximation algorithm for the vertex cover problem. Acta Informatica. 22:1985;115-123
    • (1985) Acta Informatica , vol.22 , pp. 115-123
    • Monien, B.1    Speckenmeyer, E.2
  • 26
    • 0033691283 scopus 로고    scopus 로고
    • On the approximability of the traveling salesman problem
    • C.H. Papadimitriou, S. Vempala, On the approximability of the traveling salesman problem, in: Proc. STOC'00, 2000, pp. 126-133
    • (2000) Proc. STOC'00 , pp. 126-133
    • Papadimitriou, C.H.1    Vempala, S.2
  • 29
    • 0030714232 scopus 로고    scopus 로고
    • A sub-constant error probability low-degree test and a sub-constant error probability PCP characterization of NP
    • R. Raz, S. Safra, A sub-constant error probability low-degree test and a sub-constant error probability PCP characterization of NP, in: Proc. STOC'97, 1997, pp. 475-484
    • (1997) Proc. STOC'97 , pp. 475-484
    • Raz, R.1    Safra, S.2
  • 31
    • 0029723340 scopus 로고    scopus 로고
    • A tight analysis of the greedy algorithm for set cover
    • P. Slavík, A tight analysis of the greedy algorithm for set cover, in: Proc. STOC'96, 1996, pp. 435-441
    • (1996) Proc. STOC'96 , pp. 435-441
    • Slavík, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.