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Volumn 29, Issue 4, 2001, Pages 595-609

Efficient algorithms for integer programs with two variables per constraint

Author keywords

2SAT; Approximation algorithm; Combinatorial optimization; Integer programming; Local ratio technique; Vertex cover

Indexed keywords

APPROXIMATION THEORY; COMBINATORIAL MATHEMATICS; INTEGER PROGRAMMING; OPTIMIZATION; PROBLEM SOLVING;

EID: 0242269918     PISSN: 01784617     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004530010075     Document Type: Article
Times cited : (31)

References (17)
  • 1
    • 0005388318 scopus 로고
    • A polynomial time algorithm for solving systems of linear inequalities with two variables per inequality
    • B. Aspvall and Y. Shiloach. A polynomial time algorithm for solving systems of linear inequalities with two variables per inequality. SIAM Journal on Computing, 9:827-845, 1980.
    • (1980) SIAM Journal on Computing , vol.9 , pp. 827-845
    • Aspvall, B.1    Shiloach, Y.2
  • 3
    • 0000198539 scopus 로고    scopus 로고
    • R. Bar-Yehuda. One for the price of two: a unified approach for approximating covering problems. In Proceedings of the 1st International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, pages 49-62, July 1998. Also in Algorithmica, 27:131-144, 2000.
    • (2000) Algorithmica , vol.27 , pp. 131-144
  • 4
    • 0013188975 scopus 로고
    • A linear time approximation algorithm for the weighted vertex cover problem
    • R. Bar-Yehuda and S. Even. A linear time approximation algorithm for the weighted vertex cover problem. Journal of Algorithms, 2:198-203, 1981.
    • (1981) Journal of Algorithms , vol.2 , pp. 198-203
    • Bar-Yehuda, R.1    Even, S.2
  • 5
    • 0002392504 scopus 로고
    • A local-ratio theorem for approximating the weighted vertex cover problem
    • R. Bar-Yehuda and S. Even. A local-ratio theorem for approximating the weighted vertex cover problem. Annals of Discrete Mathematics, 25:27-16, 1985.
    • (1985) Annals of Discrete Mathematics , vol.25 , pp. 27-116
    • Bar-Yehuda, R.1    Even, S.2
  • 7
    • 0001488083 scopus 로고
    • On the complexity of timetable and multi-commodity flow problems
    • S. Even, A. Itai, and A. Shamir. On the complexity of timetable and multi-commodity flow problems. SIAM Journal on Computing, 5(4):691-703, 1976.
    • (1976) SIAM Journal on Computing , vol.5 , Issue.4 , pp. 691-703
    • Even, S.1    Itai, A.2    Shamir, A.3
  • 9
    • 0024090156 scopus 로고
    • A new approach to the maximum flow problem
    • A. V. Goldberg and R. E. Tarjan. A new approach to the maximum flow problem. Journal of the ACM, 35:921-940, 1988.
    • (1988) Journal of the ACM , vol.35 , pp. 921-940
    • Goldberg, A.V.1    Tarjan, R.E.2
  • 10
    • 0027070260 scopus 로고
    • A bounded approximation for the minimum cost 2-SAT problem
    • D. Gusfield and L. Pitt. A bounded approximation for the minimum cost 2-SAT problem. Algorithmica, 8:103-117, 1992.
    • (1992) Algorithmica , vol.8 , pp. 103-117
    • Gusfield, D.1    Pitt, L.2
  • 11
    • 0000253416 scopus 로고
    • Approximation algorithms for the set covering and vertex cover problems
    • D. S. Hochbaum. Approximation algorithms for the set covering and vertex cover problems. SIAM Journal on Computing, 11(3):555-556, 1982.
    • (1982) SIAM Journal on Computing , vol.11 , Issue.3 , pp. 555-556
    • Hochbaum, D.S.1
  • 12
    • 0002555219 scopus 로고
    • Tight bounds and 2-approximation algorithms for integer programs with two variables per inequality
    • D.S. Hochbaum, N. Megiddo, J. Naor, and A. Tamir. Tight bounds and 2-approximation algorithms for integer programs with two variables per inequality. Mathematical Programming, 62:69-83, 1993.
    • (1993) Mathematical Programming , vol.62 , pp. 69-83
    • Hochbaum, D.S.1    Megiddo, N.2    Naor, J.3    Tamir, A.4
  • 13
    • 0028730912 scopus 로고
    • Simple and fast algorithms for linear and integer programs with two variables per inequality
    • D. S. Hochbaum and J. Naor. Simple and fast algorithms for linear and integer programs with two variables per inequality. SIAM Journal on Computing, 23:1179-1192, 1994.
    • (1994) SIAM Journal on Computing , vol.23 , pp. 1179-1192
    • Hochbaum, D.S.1    Naor, J.2
  • 14
    • 0022012583 scopus 로고
    • The computational complexity of simultaneous diophantine approximation problems
    • J. C. Lagarias. The computational complexity of simultaneous diophantine approximation problems. SIAM Journal on Computing, 14:196-209, 1985.
    • (1985) SIAM Journal on Computing , vol.14 , pp. 196-209
    • Lagarias, J.C.1
  • 15
    • 34250404286 scopus 로고
    • Vertex packings: Structural properties and algorithms
    • G. L. Nemhauser and L. E. Trotter. Vertex packings: structural properties and algorithms. Mathematical Programming, 8:232-248, 1975.
    • (1975) Mathematical Programming , vol.8 , pp. 232-248
    • Nemhauser, G.L.1    Trotter, L.E.2
  • 16
    • 0019621772 scopus 로고
    • Deciding linear inequalities by computing loop residues
    • R. Shostak. Deciding linear inequalities by computing loop residues. Journal of the ACM, 28:769-779, 1981.
    • (1981) Journal of the ACM , vol.28 , pp. 769-779
    • Shostak, R.1
  • 17
    • 38249022139 scopus 로고
    • Representation of general and polyhedral subsemilattices and sublattices of product spaces
    • A. F. Veinott. Representation of general and polyhedral subsemilattices and sublattices of product spaces. Linear Algebra and its Applications, 114/115:681-704, 1989.
    • (1989) Linear Algebra and Its Applications , vol.114-115 , pp. 681-704
    • Veinott, A.F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.