메뉴 건너뛰기




Volumn 76, Issue 3-4, 2010, Pages 204-221

Approximation and fixed-parameter algorithms for consecutive ones submatrix problems

Author keywords

Circular ones property; Consecutive ones property; Exact algorithms; Fixed parameter tractability; Forbidden submatrix characterization; NP hard problem

Indexed keywords

APPROXIMATION ALGORITHMS; COMPUTATIONAL COMPLEXITY; NP-HARD; POLYNOMIAL APPROXIMATION;

EID: 77950342085     PISSN: 00220000     EISSN: 10902724     Source Type: Journal    
DOI: 10.1016/j.jcss.2009.07.001     Document Type: Article
Times cited : (27)

References (47)
  • 2
    • 0032057853 scopus 로고    scopus 로고
    • A spectral algorithm for seriation and the consecutive ones problem
    • Atkins J.E., Boman E.G., and Hendrickson B. A spectral algorithm for seriation and the consecutive ones problem. SIAM J. Comput. 28 1 (1998) 297-310
    • (1998) SIAM J. Comput. , vol.28 , Issue.1 , pp. 297-310
    • Atkins, J.E.1    Boman, E.G.2    Hendrickson, B.3
  • 3
    • 0042542466 scopus 로고    scopus 로고
    • On physical mapping and the consecutive ones property for sparse matrices
    • Atkins J.E., and Middendorf M. On physical mapping and the consecutive ones property for sparse matrices. Discrete Appl. Math. 71 1-3 (1996) 23-40
    • (1996) Discrete Appl. Math. , vol.71 , Issue.1-3 , pp. 23-40
    • Atkins, J.E.1    Middendorf, M.2
  • 5
    • 0019059991 scopus 로고
    • Cyclic scheduling via integer programs with circular ones
    • Bartholdi III J.J., Orlin J.B., and Ratliff H.D. Cyclic scheduling via integer programs with circular ones. Oper. Res. 28 5 (1980) 1074-1085
    • (1980) Oper. Res. , vol.28 , Issue.5 , pp. 1074-1085
    • Bartholdi III, J.J.1    Orlin, J.B.2    Ratliff, H.D.3
  • 6
    • 0017216776 scopus 로고
    • Testing for the consecutive ones property, interval graphs, and graph planarity using PQ-tree algorithms
    • Booth K.S., and Lueker G.S. Testing for the consecutive ones property, interval graphs, and graph planarity using PQ-tree algorithms. J. Comput. System Sci. 13 (1976) 335-379
    • (1976) J. Comput. System Sci. , vol.13 , pp. 335-379
    • Booth, K.S.1    Lueker, G.S.2
  • 7
    • 84958756383 scopus 로고    scopus 로고
    • Consecutive ones and a betweenness problem in computational biology
    • Proceedings of the 6th International Conference on Integer Programming and Combinatorial Optimization. IPCO '98, Springer
    • Christof T., Oswald M., and Reinelt G. Consecutive ones and a betweenness problem in computational biology. Proceedings of the 6th International Conference on Integer Programming and Combinatorial Optimization. IPCO '98. Lecture Notes in Comput. Sci. vol. 1412 (1998), Springer 213-228
    • (1998) Lecture Notes in Comput. Sci. , vol.1412 , pp. 213-228
    • Christof, T.1    Oswald, M.2    Reinelt, G.3
  • 9
    • 77950339105 scopus 로고    scopus 로고
    • Algorithmic aspects of the consecutive-ones property
    • Dom M. Algorithmic aspects of the consecutive-ones property. Bull. Eur. Assoc. Theor. Comput. Sci. EATCS 98 (2009) 27-59
    • (2009) Bull. Eur. Assoc. Theor. Comput. Sci. EATCS , vol.98 , pp. 27-59
    • Dom, M.1
  • 10
    • 35448930654 scopus 로고    scopus 로고
    • Approximability and parameterized complexity of consecutive ones submatrix problems
    • Proceedings of the 4th Annual Conference on Theory and Applications of Models of Computation. TAMC '07, Springer
    • Dom M., Guo J., and Niedermeier R. Approximability and parameterized complexity of consecutive ones submatrix problems. Proceedings of the 4th Annual Conference on Theory and Applications of Models of Computation. TAMC '07. Lecture Notes in Comput. Sci. vol. 4484 (2007), Springer 680-691
    • (2007) Lecture Notes in Comput. Sci. , vol.4484 , pp. 680-691
    • Dom, M.1    Guo, J.2    Niedermeier, R.3
  • 11
    • 47549097445 scopus 로고    scopus 로고
    • The search for consecutive ones submatrices: Faster and more general
    • Proceedings of the 3rd Workshop Algorithms and Complexity in Durham. ACiD '07, College Publications
    • Dom M., and Niedermeier R. The search for consecutive ones submatrices: Faster and more general. Proceedings of the 3rd Workshop Algorithms and Complexity in Durham. ACiD '07. Texts Algorithmics vol. 9 (2007), College Publications 43-54
    • (2007) Texts Algorithmics , vol.9 , pp. 43-54
    • Dom, M.1    Niedermeier, R.2
  • 14
    • 24144503669 scopus 로고    scopus 로고
    • Two-layer planarization: Improving on parameterized algorithmics
    • Proceedings of the 31st Conference on Current Trends in Theory and Practice of Informatics. SOFSEM '05, Springer
    • Fernau H. Two-layer planarization: Improving on parameterized algorithmics. Proceedings of the 31st Conference on Current Trends in Theory and Practice of Informatics. SOFSEM '05. Lecture Notes in Comput. Sci. vol. 3381 (2005), Springer 137-146
    • (2005) Lecture Notes in Comput. Sci. , vol.3381 , pp. 137-146
    • Fernau, H.1
  • 15
    • 55049132756 scopus 로고    scopus 로고
    • Parameterized algorithmics for linear arrangement problems
    • Fernau H. Parameterized algorithmics for linear arrangement problems. Discrete Appl. Math. 156 17 (2008) 3166-3177
    • (2008) Discrete Appl. Math. , vol.156 , Issue.17 , pp. 3166-3177
    • Fernau, H.1
  • 17
    • 84972514233 scopus 로고
    • Incidence matrices and interval graphs
    • Fulkerson D.R., and Gross O.A. Incidence matrices and interval graphs. Pacific J. Math. 15 3 (1965) 835-855
    • (1965) Pacific J. Math. , vol.15 , Issue.3 , pp. 835-855
    • Fulkerson, D.R.1    Gross, O.A.2
  • 19
    • 37149054237 scopus 로고    scopus 로고
    • Invitation to data reduction and problem kernelization
    • Guo J., and Niedermeier R. Invitation to data reduction and problem kernelization. ACM SIGACT News 38 1 (2007) 31-45
    • (2007) ACM SIGACT News , vol.38 , Issue.1 , pp. 31-45
    • Guo, J.1    Niedermeier, R.2
  • 20
    • 0002482188 scopus 로고    scopus 로고
    • Lex-BFS and partition refinement, with applications to transitive orientation, interval graph recognition and consecutive ones testing
    • Habib M., McConnell R.M., Paul C., and Viennot L. Lex-BFS and partition refinement, with applications to transitive orientation, interval graph recognition and consecutive ones testing. Theoret. Comput. Sci. 234 1-2 (2000) 59-84
    • (2000) Theoret. Comput. Sci. , vol.234 , Issue.1-2 , pp. 59-84
    • Habib, M.1    McConnell, R.M.2    Paul, C.3    Viennot, L.4
  • 21
    • 35448987409 scopus 로고    scopus 로고
    • Manuscript, School of Computer Science, University of Waterloo, Canada
    • M. Hajiaghayi, Consecutive ones property, Manuscript, School of Computer Science, University of Waterloo, Canada, 2000
    • (2000) Consecutive ones property
    • Hajiaghayi, M.1
  • 22
    • 0037119063 scopus 로고    scopus 로고
    • A note on the consecutive ones submatrix problem
    • Hajiaghayi M., and Ganjali Y. A note on the consecutive ones submatrix problem. Inform. Process. Lett. 83 3 (2002) 163-166
    • (2002) Inform. Process. Lett. , vol.83 , Issue.3 , pp. 163-166
    • Hajiaghayi, M.1    Ganjali, Y.2
  • 23
    • 0002246769 scopus 로고
    • Approximation algorithms for hitting objects with straight lines
    • Hassin R., and Megiddo N. Approximation algorithms for hitting objects with straight lines. Discrete Appl. Math. 30 (1991) 29-42
    • (1991) Discrete Appl. Math. , vol.30 , pp. 29-42
    • Hassin, R.1    Megiddo, N.2
  • 24
    • 33748466193 scopus 로고    scopus 로고
    • Cyclical scheduling and multi-shift scheduling: Complexity and approximation algorithms
    • Hochbaum D.S., and Levin A. Cyclical scheduling and multi-shift scheduling: Complexity and approximation algorithms. Discrete Optim. 3 4 (2006) 327-340
    • (2006) Discrete Optim. , vol.3 , Issue.4 , pp. 327-340
    • Hochbaum, D.S.1    Levin, A.2
  • 25
    • 0036557484 scopus 로고    scopus 로고
    • A simple test for the consecutive ones property
    • Hsu W.-L. A simple test for the consecutive ones property. J. Algorithms 43 1 (2002) 1-16
    • (2002) J. Algorithms , vol.43 , Issue.1 , pp. 1-16
    • Hsu, W.-L.1
  • 26
    • 0037268116 scopus 로고    scopus 로고
    • PC trees and circular-ones arrangements
    • Hsu W.-L., and McConnell R.M. PC trees and circular-ones arrangements. Theoret. Comput. Sci. 296 1 (2003) 99-116
    • (2003) Theoret. Comput. Sci. , vol.296 , Issue.1 , pp. 99-116
    • Hsu, W.-L.1    McConnell, R.M.2
  • 27
    • 38149105774 scopus 로고    scopus 로고
    • Vertex cover might be hard to approximate to within 2 - ε{lunate}
    • Khot S., and Regev O. Vertex cover might be hard to approximate to within 2 - ε{lunate}. J. Comput. System Sci. 74 3 (2008) 335-349
    • (2008) J. Comput. System Sci. , vol.74 , Issue.3 , pp. 335-349
    • Khot, S.1    Regev, O.2
  • 28
    • 9644270478 scopus 로고    scopus 로고
    • Recognizing graphs without asteroidal triples
    • Köhler E. Recognizing graphs without asteroidal triples. J. Discrete Algorithms 2 4 (2004) 439-452
    • (2004) J. Discrete Algorithms , vol.2 , Issue.4 , pp. 439-452
    • Köhler, E.1
  • 29
    • 0024610616 scopus 로고
    • An incremental linear-time algorithm for recognizing interval graphs
    • Korte N., and Möhring R.H. An incremental linear-time algorithm for recognizing interval graphs. SIAM J. Comput. 18 1 (1989) 68-81
    • (1989) SIAM J. Comput. , vol.18 , Issue.1 , pp. 68-81
    • Korte, N.1    Möhring, R.H.2
  • 30
    • 0006076427 scopus 로고
    • Polynomial complete consecutive information retrieval problems
    • Kou L.T. Polynomial complete consecutive information retrieval problems. SIAM J. Comput. 6 1 (1977) 67-75
    • (1977) SIAM J. Comput. , vol.6 , Issue.1 , pp. 67-75
    • Kou, L.T.1
  • 31
    • 33845544501 scopus 로고    scopus 로고
    • Certifying algorithms for recognizing interval graphs and permutation graphs
    • Kratsch D., McConnell R.M., Mehlhorn K., and Spinrad J. Certifying algorithms for recognizing interval graphs and permutation graphs. SIAM J. Comput. 36 2 (2006) 326-353
    • (2006) SIAM J. Comput. , vol.36 , Issue.2 , pp. 326-353
    • Kratsch, D.1    McConnell, R.M.2    Mehlhorn, K.3    Spinrad, J.4
  • 34
    • 33646849980 scopus 로고    scopus 로고
    • Solving geometric covering problems by data reduction
    • Proceedings of the 12th Annual European Symposium on Algorithms. ESA '04, Springer
    • Mecke S., and Wagner D. Solving geometric covering problems by data reduction. Proceedings of the 12th Annual European Symposium on Algorithms. ESA '04. Lecture Notes in Comput. Sci. vol. 3221 (2004), Springer 760-771
    • (2004) Lecture Notes in Comput. Sci. , vol.3221 , pp. 760-771
    • Mecke, S.1    Wagner, D.2
  • 37
    • 0038825571 scopus 로고    scopus 로고
    • The weighted consecutive ones problem for a fixed number of rows or columns
    • Oswald M., and Reinelt G. The weighted consecutive ones problem for a fixed number of rows or columns. Oper. Res. Lett. 31 3 (2003) 350-356
    • (2003) Oper. Res. Lett. , vol.31 , Issue.3 , pp. 350-356
    • Oswald, M.1    Reinelt, G.2
  • 38
    • 64249093813 scopus 로고    scopus 로고
    • The simultaneous consecutive ones problem
    • Oswald M., and Reinelt G. The simultaneous consecutive ones problem. Theoret. Comput. Sci. 410 21-23 (2009) 1986-1992
    • (2009) Theoret. Comput. Sci. , vol.410 , Issue.21-23 , pp. 1986-1992
    • Oswald, M.1    Reinelt, G.2
  • 39
    • 13944274588 scopus 로고    scopus 로고
    • Set covering with almost consecutive ones property
    • Ruf N., and Schöbel A. Set covering with almost consecutive ones property. Discrete Optim. 1 2 (2004) 215-228
    • (2004) Discrete Optim. , vol.1 , Issue.2 , pp. 215-228
    • Ruf, N.1    Schöbel, A.2
  • 40
    • 74849140933 scopus 로고    scopus 로고
    • PhD thesis, School of Computer Science, McGill University Montréal, Canada
    • M. Suderman, Layered graph drawing, PhD thesis, School of Computer Science, McGill University Montréal, Canada, 2005
    • (2005) Layered graph drawing
    • Suderman, M.1
  • 41
    • 35048814911 scopus 로고    scopus 로고
    • Experiments with the fixed-parameter approach for two-layer planarization
    • Proceedings of the 11th International Symposium on Graph Drawing. GD '03, Springer
    • Suderman M., and Whitesides S. Experiments with the fixed-parameter approach for two-layer planarization. Proceedings of the 11th International Symposium on Graph Drawing. GD '03. Lecture Notes in Comput. Sci. vol. 2912 (2003), Springer 345-356
    • (2003) Lecture Notes in Comput. Sci. , vol.2912 , pp. 345-356
    • Suderman, M.1    Whitesides, S.2
  • 42
    • 34547278083 scopus 로고    scopus 로고
    • The consecutive ones submatrix problem for sparse matrices
    • Tan J., and Zhang L. The consecutive ones submatrix problem for sparse matrices. Algorithmica 48 3 (2007) 287-299
    • (2007) Algorithmica , vol.48 , Issue.3 , pp. 287-299
    • Tan, J.1    Zhang, L.2
  • 43
    • 84972526497 scopus 로고
    • Matrix characterizations of circular-arc graphs
    • Tucker A.C. Matrix characterizations of circular-arc graphs. Pacific J. Math. 2 39 (1971) 535-545
    • (1971) Pacific J. Math. , vol.2 , Issue.39 , pp. 535-545
    • Tucker, A.C.1
  • 44
    • 0011610992 scopus 로고
    • A structure theorem for the consecutive 1's property
    • Tucker A.C. A structure theorem for the consecutive 1's property. J. Combin. Theory Ser. B 12 (1972) 153-162
    • (1972) J. Combin. Theory Ser. B , vol.12 , pp. 153-162
    • Tucker, A.C.1
  • 46
    • 0141444568 scopus 로고
    • Optimal capacity scheduling
    • Veinott A.F., and Wagner H.M. Optimal capacity scheduling. Oper. Res. 10 (1962) 518-547
    • (1962) Oper. Res. , vol.10 , pp. 518-547
    • Veinott, A.F.1    Wagner, H.M.2
  • 47
    • 0022103702 scopus 로고
    • Approximation of the consecutive ones matrix augmentation problem
    • Veldhorst M. Approximation of the consecutive ones matrix augmentation problem. SIAM J. Comput. 14 3 (1985) 709-729
    • (1985) SIAM J. Comput. , vol.14 , Issue.3 , pp. 709-729
    • Veldhorst, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.