메뉴 건너뛰기




Volumn 5757 LNCS, Issue , 2009, Pages 83-94

Approximability of sparse integer programs

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMABILITY; APPROXIMATION RATIOS; COVERING INTEGER PROGRAM; FEASIBLE SOLUTION; GREEDY METHOD; INTEGER PROGRAM; INTEGRAL SOLUTIONS; K-APPROXIMATION ALGORITHM; LP RELAXATION; PACKING INTEGER PROGRAMS; POLYNOMIAL-TIME APPROXIMATION ALGORITHMS; UNIQUE GAMES CONJECTURE;

EID: 70350393403     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-04128-0_8     Document Type: Conference Paper
Times cited : (18)

References (30)
  • 1
    • 0020845921 scopus 로고
    • Integer programming with a fixed number of variables
    • Lenstra, H.: Integer programming with a fixed number of variables. Math. Oper. Res. 8, 538-548 (1983)
    • (1983) Math. Oper. Res , vol.8 , pp. 538-548
    • Lenstra, H.1
  • 2
    • 27144509145 scopus 로고    scopus 로고
    • Dinur, I., Guruswami, V., Khot, S., Regev, O.: A new multilayered PCP and the hardness of hypergraph vertex cover. SIAM J. Comput. 34(5), 1129-1146 (2005); Preliminary version appeared in Proc. 35th STOC, pp. 595-601 (2003)
    • Dinur, I., Guruswami, V., Khot, S., Regev, O.: A new multilayered PCP and the hardness of hypergraph vertex cover. SIAM J. Comput. 34(5), 1129-1146 (2005); Preliminary version appeared in Proc. 35th STOC, pp. 595-601 (2003)
  • 3
    • 85128116311 scopus 로고    scopus 로고
    • Khot, S., Regev, O.: Vertex cover might be hard to approximate to within 2-l. J. Comput. Syst. Sci. 74(3), 335-349 (2008); Preliminary version appeared in Proc. 18th CCC, pp. 379-386 (2003)
    • Khot, S., Regev, O.: Vertex cover might be hard to approximate to within 2-l. J. Comput. Syst. Sci. 74(3), 335-349 (2008); Preliminary version appeared in Proc. 18th CCC, pp. 379-386 (2003)
  • 4
    • 0000253416 scopus 로고
    • Approximation algorithms for set covering and vertex cover problems
    • Hochbaum, D.S.: Approximation algorithms for set covering and vertex cover problems. SIAM J. Comput. 11, 555-556 (1982)
    • (1982) SIAM J. Comput , vol.11 , pp. 555-556
    • Hochbaum, D.S.1
  • 5
    • 0013188975 scopus 로고
    • A linear time approximation algorithm for the weighted vertex cover problem
    • Bar-Yehuda, R., Even, S.: A linear time approximation algorithm for the weighted vertex cover problem. J. Algorithms 2, 198-203 (1981)
    • (1981) J. Algorithms , vol.2 , pp. 198-203
    • Bar-Yehuda, R.1    Even, S.2
  • 6
    • 0022785612 scopus 로고
    • A fast approximation algorithm for the multicovering problem
    • Hall, N.G., Hochbaum, D.S.: A fast approximation algorithm for the multicovering problem. Discrete Appl. Math. 15(1), 35-40 (1986)
    • (1986) Discrete Appl. Math , vol.15 , Issue.1 , pp. 35-40
    • Hall, N.G.1    Hochbaum, D.S.2
  • 7
    • 0002555219 scopus 로고
    • Tight bounds and 2- approximation algorithms for integer programs with two variables per inequality
    • Hochbaum, D.S., Megiddo, N., Naor, J.S., Tamir, A.: Tight bounds and 2- approximation algorithms for integer programs with two variables per inequality. Math. Program. 62(1), 69-83 (1993)
    • (1993) Math. Program , vol.62 , Issue.1 , pp. 69-83
    • Hochbaum, D.S.1    Megiddo, N.2    Naor, J.S.3    Tamir, A.4
  • 8
    • 0242269918 scopus 로고    scopus 로고
    • Efficient algorithms for integer programs with two variables per constraint
    • Bar-Yehuda, R., Rawitz, D.: Efficient algorithms for integer programs with two variables per constraint. Algorithmica 29(4), 595-609 (2001)
    • (2001) Algorithmica , vol.29 , Issue.4 , pp. 595-609
    • Bar-Yehuda, R.1    Rawitz, D.2
  • 9
    • 0033900420 scopus 로고    scopus 로고
    • Strengthening integrality gaps for capacitated network design and covering problems
    • Carr, R.D., Fleischer, L., Leung, V.J., Phillips, C.A.: Strengthening integrality gaps for capacitated network design and covering problems. In: Proc. 11th SODA, pp. 106-115 (2000)
    • (2000) Proc. 11th SODA , pp. 106-115
    • Carr, R.D.1    Fleischer, L.2    Leung, V.J.3    Phillips, C.A.4
  • 10
    • 23944487820 scopus 로고    scopus 로고
    • Fujito, T., Yabuta, T.: Submodular integer cover and its application to production planning. In: Persiano, G., Solis-Oba, R. (eds.) WAOA 2004. LNCS, 3351, pp. 154-166. Springer, Heidelberg (2005)
    • Fujito, T., Yabuta, T.: Submodular integer cover and its application to production planning. In: Persiano, G., Solis-Oba, R. (eds.) WAOA 2004. LNCS, vol. 3351, pp. 154-166. Springer, Heidelberg (2005)
  • 11
    • 70449083285 scopus 로고    scopus 로고
    • Koufogiannakis, C., Young, N.E.: Greedy degree-approximation algorithm for covering with arbitrary constraints and submodular cost. In: Albers, S., Marchetti- Spaccamela, A., Matias, Y., Nikoletseas, S., Thomas, W. (eds.) ICALP 2009. Part I. LNCS, 5555, pp. 634-652. Springer, Heidelberg (2009) arXiv:0807.0644
    • Koufogiannakis, C., Young, N.E.: Greedy degree-approximation algorithm for covering with arbitrary constraints and submodular cost. In: Albers, S., Marchetti- Spaccamela, A., Matias, Y., Nikoletseas, S., Thomas, W. (eds.) ICALP 2009. Part I. LNCS, vol. 5555, pp. 634-652. Springer, Heidelberg (2009) arXiv:0807.0644
  • 12
    • 70350363043 scopus 로고    scopus 로고
    • Pritchard, D.: Approximability of sparse integer programs (2009) arXiv:0904.0859
    • Pritchard, D.: Approximability of sparse integer programs (2009) arXiv:0904.0859
  • 13
    • 35048867907 scopus 로고    scopus 로고
    • The demand-matching problem. Mathematics of Operations Research 32(3), 563-578 (2007)
    • Shepherd, F.B., Vetta, A.: The demand-matching problem. Mathematics of Operations Research 32(3), 563-578 (2007); Preliminary version appeared in Proc. 9th IPCO, pp. 457-474, (2002)
    • (2002) Preliminary version appeared in Proc. 9th IPCO , pp. 457-474
    • Shepherd, F.B.1    Vetta, A.2
  • 14
    • 35248848767 scopus 로고    scopus 로고
    • Multicommodity demand flow in a tree and packing integer programs. ACMTrans. Algorithms 3(3), 27 (2007)
    • Chekuri, C., Mydlarz, M., Shepherd, F.B.: Multicommodity demand flow in a tree and packing integer programs. ACMTrans. Algorithms 3(3), 27 (2007); Preliminary version appeared in Proc. 30th ICALP, pp. 410-425 (2003)
    • (2003) Preliminary version appeared in Proc. 30th ICALP , pp. 410-425
    • Chekuri, C.1    Mydlarz, M.2    Shepherd, F.B.3
  • 15
    • 70350353598 scopus 로고    scopus 로고
    • Berman, P.: A d/2 approximation for maximum weight independent set in d-claw free graphs. Nordic J. of Computing 7(3), 178-184 (2000); Preliminary version appeared in Proc. 7th SWAT, pp. 214-219 (2000)
    • Berman, P.: A d/2 approximation for maximum weight independent set in d-claw free graphs. Nordic J. of Computing 7(3), 178-184 (2000); Preliminary version appeared in Proc. 7th SWAT, pp. 214-219 (2000)
  • 16
    • 0002980001 scopus 로고
    • On the size of systems of sets every t of which have an SDR, with an application to the worst-case ratio of heuristics for packing problems
    • Hurkens, C.A.J., Schrijver, A.: On the size of systems of sets every t of which have an SDR, with an application to the worst-case ratio of heuristics for packing problems. SIAM J. Discret. Math. 2(1), 68-72 (1989)
    • (1989) SIAM J. Discret. Math , vol.2 , Issue.1 , pp. 68-72
    • Hurkens, C.A.J.1    Schrijver, A.2
  • 17
    • 33646508996 scopus 로고    scopus 로고
    • Hazan, E., Safra, S., Schwartz, O.: On the complexity of approximating k-set packing. Comput. Complex. 15(1), 20-39 (2006); Preliminary versions appeared in Proc. 6th APPROX, pp. 83-97 (2003); ECCC-TR03-020 (2003)
    • Hazan, E., Safra, S., Schwartz, O.: On the complexity of approximating k-set packing. Comput. Complex. 15(1), 20-39 (2006); Preliminary versions appeared in Proc. 6th APPROX, pp. 83-97 (2003); ECCC-TR03-020 (2003)
  • 19
    • 0033301160 scopus 로고    scopus 로고
    • Srinivasan, A.: Improved approximation guarantees for packing and covering integer programs. SIAM J. Comput. 29(2), 648-670 (1999); Preliminary version appeared in Proc. 27th STOC, pp. 268-276 (1995)
    • Srinivasan, A.: Improved approximation guarantees for packing and covering integer programs. SIAM J. Comput. 29(2), 648-670 (1999); Preliminary version appeared in Proc. 27th STOC, pp. 268-276 (1995)
  • 20
    • 34250844501 scopus 로고    scopus 로고
    • An extension of the Lovász Local Lemma, and its applications to integer programming. SIAMJ. Comput. 36(3), 609-634 (2006)
    • Srinivasan, A.: An extension of the Lovász Local Lemma, and its applications to integer programming. SIAMJ. Comput. 36(3), 609-634 (2006); Preliminary version appeared in Proc. 7th SODA, pp. 6-15 (1996)
    • (1996) Preliminary version appeared in Proc. 7th SODA , pp. 6-15
    • Srinivasan, A.1
  • 21
    • 27344443041 scopus 로고    scopus 로고
    • Approximation algorithms for covering/packing integer programs
    • Kolliopoulos, S.G., Young, N.E.: Approximation algorithms for covering/packing integer programs. J. Comput. Syst. Sci. 71(4), 495-505 (2005)
    • (2005) J. Comput. Syst. Sci , vol.71 , Issue.4 , pp. 495-505
    • Kolliopoulos, S.G.1    Young, N.E.2
  • 22
    • 0034826228 scopus 로고    scopus 로고
    • Non-approximability results for optimization problems on bounded degree instances
    • Trevisan, L.: Non-approximability results for optimization problems on bounded degree instances. In: Proc. 33rd STOC, pp. 453-461 (2001)
    • (2001) Proc. 33rd STOC , pp. 453-461
    • Trevisan, L.1
  • 23
    • 0142029540 scopus 로고    scopus 로고
    • Monotonizing linear programs with up to two nonzeroes per column
    • Hochbaum, D.S.: Monotonizing linear programs with up to two nonzeroes per column. Oper. Res. Lett. 32(1), 49-58 (2004)
    • (2004) Oper. Res. Lett , vol.32 , Issue.1 , pp. 49-58
    • Hochbaum, D.S.1
  • 24
    • 57949083136 scopus 로고    scopus 로고
    • On the approximability of budgeted allocations and improved lower bounds for submodular welfare maximization and GAP
    • Chakrabarty, D., Goel, G.: On the approximability of budgeted allocations and improved lower bounds for submodular welfare maximization and GAP. In: Proc. 49th FOCS, pp. 687-696 (2008)
    • (2008) Proc. 49th FOCS , pp. 687-696
    • Chakrabarty, D.1    Goel, G.2
  • 25
    • 33746347703 scopus 로고    scopus 로고
    • Better inapproximability results for maxClique, chromatic number and min-3Lin-deletion
    • Bugliesi, M, Preneel, B, Sassone, V, Wegener, I, eds, ICALP 2006, Springer, Heidelberg
    • Khot, S., Ponnuswami, A.K.: Better inapproximability results for maxClique, chromatic number and min-3Lin-deletion. In: Bugliesi, M., Preneel, B., Sassone, V., Wegener, I. (eds.) ICALP 2006. LNCS, vol. 4051, pp. 226-237. Springer, Heidelberg (2006)
    • (2006) LNCS , vol.4051 , pp. 226-237
    • Khot, S.1    Ponnuswami, A.K.2
  • 27
    • 0021423921 scopus 로고
    • A note on approximation schemes for multidimensional knapsack problems
    • Magazine, M.J., Chern, M.S.: A note on approximation schemes for multidimensional knapsack problems. Math. of Oper. Research 9(2), 244-247 (1984)
    • (1984) Math. of Oper. Research , vol.9 , Issue.2 , pp. 244-247
    • Magazine, M.J.1    Chern, M.S.2
  • 28
    • 51249182537 scopus 로고
    • An analysis of the greedy algorithm for the submodular set covering problem
    • Wolsey, L.: An analysis of the greedy algorithm for the submodular set covering problem. Combinatorica 2(4), 385-393 (1982)
    • (1982) Combinatorica , vol.2 , Issue.4 , pp. 385-393
    • Wolsey, L.1
  • 29
    • 0031372623 scopus 로고    scopus 로고
    • Improved approximation algorithms for unsplittable flow problems
    • Kolliopoulos, S.G., Stein, C.: Improved approximation algorithms for unsplittable flow problems. In: Proc. 38th FOCS, pp. 426-436 (1997)
    • (1997) Proc. 38th FOCS , pp. 426-436
    • Kolliopoulos, S.G.1    Stein, C.2
  • 30
    • 60349090648 scopus 로고    scopus 로고
    • Könemann, J., Parekh, O., Pritchard, D.: Max-weight integral multicommodity flow in spiders and high-capacity trees. In: Bampis, E., Skutella, M. (eds.) WAOA 2008. LNCS, 5426, pp. 1-14. Springer, Heidelberg (2009)
    • Könemann, J., Parekh, O., Pritchard, D.: Max-weight integral multicommodity flow in spiders and high-capacity trees. In: Bampis, E., Skutella, M. (eds.) WAOA 2008. LNCS, vol. 5426, pp. 1-14. Springer, Heidelberg (2009)


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.