메뉴 건너뛰기




Volumn 40, Issue 1, 2006, Pages 75-91

Recognizing when heuristics can approximate minimum vertex covers is complete for parallel access to NP

Author keywords

Approximation; Completeness; Computational complexity; Minimum vertex cover heuristics; Parallel access to NP

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL COMPLEXITY; GRAPH THEORY; OPTIMAL CONTROL SYSTEMS; PROBLEM SOLVING;

EID: 30744475700     PISSN: 09883754     EISSN: 28047346     Source Type: Journal    
DOI: 10.1051/ita:2005041     Document Type: Article
Times cited : (4)

References (27)
  • 1
    • 0041634828 scopus 로고    scopus 로고
    • It is hard to know when greedy is good for finding independent sets
    • H. Bodlaender, D. Thilikos and K. Yamazaki, It is hard to know when greedy is good for finding independent sets. Inform. Process. Lett. 61 (1997) 101-106.
    • (1997) Inform. Process. Lett. , vol.61 , pp. 101-106
    • Bodlaender, H.1    Thilikos, D.2    Yamazaki, K.3
  • 2
    • 0000301097 scopus 로고
    • A greedy heuristic for the set-covering problem
    • V. Chvátal, A greedy heuristic for the set-covering problem. Math. Oper. Res. 4 (1979) 233-235.
    • (1979) Math. Oper. Res. , vol.4 , pp. 233-235
    • Chvátal, V.1
  • 4
    • 0032108328 scopus 로고    scopus 로고
    • A threshold of Inn for approximating set cover
    • U. Feige, A threshold of Inn for approximating set cover. J. ACM 45 (1998) 634-652.
    • (1998) J. ACM , vol.45 , pp. 634-652
    • Feige, U.1
  • 7
    • 0000542612 scopus 로고
    • The strong exponential hierarchy collapses
    • L. Hemachandra, The strong exponential hierarchy collapses. J. Comput. Syst. Sci. 39 (1989) 299-322.
    • (1989) J. Comput. Syst. Sci. , vol.39 , pp. 299-322
    • Hemachandra, L.1
  • 9
    • 0031269788 scopus 로고    scopus 로고
    • Exact analysis of Dodgson elections: Lewis Carroll's 1876 voting system is complete for parallel access to NP
    • E. Hemaspaandra, L. Hemaspaandra and J. Rothe, Exact analysis of Dodgson elections: Lewis Carroll's 1876 voting system is complete for parallel access to NP. J. ACM 44 (1997) 806-825.
    • (1997) J. ACM , vol.44 , pp. 806-825
    • Hemaspaandra, E.1    Hemaspaandra, L.2    Rothe, J.3
  • 10
    • 0012636983 scopus 로고    scopus 로고
    • Raising NP lower bounds to parallel NP lower bounds
    • E. Hemaspaandra, L. Hemaspaandra and J. Rothe, Raising NP lower bounds to parallel NP lower bounds. SIGACT News 28 (1997) 2-13.
    • (1997) SIGACT News , vol.28 , pp. 2-13
    • Hemaspaandra, E.1    Hemaspaandra, L.2    Rothe, J.3
  • 11
    • 0041355336 scopus 로고    scopus 로고
    • Recognizing when greed can approximate maximum independent sets is complete for parallel access to NP
    • E. Hemaspaandra and J. Rothe, Recognizing when greed can approximate maximum independent sets is complete for parallel access to NP. Inform. Proc. Lett. 65 (1998) 151-156.
    • (1998) Inform. Proc. Lett. , vol.65 , pp. 151-156
    • Hemaspaandra, E.1    Rothe, J.2
  • 13
    • 0036767168 scopus 로고    scopus 로고
    • The minimization problem for boolean formulas
    • E. Hemaspaandra and G. Wechsung, The minimization problem for boolean formulas. SIAM J. Comput. 31 (2002) 1948-1958.
    • (2002) SIAM J. Comput. , vol.31 , pp. 1948-1958
    • Hemaspaandra, E.1    Wechsung, G.2
  • 14
    • 0016349356 scopus 로고
    • Approximation algorithms for combinatorial problems
    • D. Johnson, Approximation algorithms for combinatorial problems. J. Comput. Syst. Sci. 9 (1974) 256-278.
    • (1974) J. Comput. Syst. Sci. , vol.9 , pp. 256-278
    • Johnson, D.1
  • 15
    • 38249025494 scopus 로고
    • NPlog n and sparse Turing-complete sets for NP
    • NP[log n[ and sparse Turing-complete sets for NP. J. Comput. Syst. Sci. 39 (1989) 282-298.
    • (1989) J. Comput. Syst. Sci. , vol.39 , pp. 282-298
    • Kadin, J.1
  • 16
    • 0024020188 scopus 로고
    • The complexity of optimization problems
    • M. Krentel, The complexity of optimization problems. J. Comput. Syst. Sci. 36 (1988) 490-509.
    • (1988) J. Comput. Syst. Sci. , vol.36 , pp. 490-509
    • Krentel, M.1
  • 18
    • 0000203509 scopus 로고
    • On the ratio of optimal integral and fractional covers
    • L. Lovász, On the ratio of optimal integral and fractional covers. Discrete Math. 13 (1975) 383-390.
    • (1975) Discrete Math. , vol.13 , pp. 383-390
    • Lovász, L.1
  • 19
    • 0028514351 scopus 로고
    • On the hardness of approximating minimization problems
    • C. Lund and M. Yannakakis, On the hardness of approximating minimization problems. J. ACM 41 (1994) 960-981.
    • (1994) J. ACM , vol.41 , pp. 960-981
    • Lund, C.1    Yannakakis, M.2
  • 23
    • 33748523066 scopus 로고    scopus 로고
    • Complexity of the exact domatic number problem and of the exact conveyor flow shop problem
    • On-line publication DOI 10.1007/s00224-004-1209-8. Paper publication to appear
    • T. Riege and J. Rothe, Complexity of the exact domatic number problem and of the exact conveyor flow shop problem. Theory of Computing Systems (2004). On-line publication DOI 10.1007/s00224-004-1209-8. Paper publication to appear.
    • (2004) Theory of Computing Systems
    • Riege, T.1    Rothe, J.2
  • 24
    • 0041492960 scopus 로고    scopus 로고
    • Exact complexity of the winner problem for Young elections
    • J. Rothe, H. Spakowski and J. Vogel, Exact complexity of the winner problem for Young elections. Theory Comput. Syst. 36 (2003) 375-386.
    • (2003) Theory Comput. Syst. , vol.36 , pp. 375-386
    • Rothe, J.1    Spakowski, H.2    Vogel, J.3
  • 26
    • 0023467207 scopus 로고
    • More complicated questions about maxima and minima, and some closures of NP
    • K. Wagner, More complicated questions about maxima and minima, and some closures of NP. Theor. Comput. Sci. 51 (1987) 53-80.
    • (1987) Theor. Comput. Sci. , vol.51 , pp. 53-80
    • Wagner, K.1
  • 27
    • 0025507099 scopus 로고
    • Bounded query classes
    • K. Wagner, Bounded query classes. SIAM J. Comput. 19 (1990) 833-846.
    • (1990) SIAM J. Comput. , vol.19 , pp. 833-846
    • Wagner, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.