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Volumn 155, Issue 2, 2007, Pages 137-149

Enumerating disjunctions and conjunctions of paths and cuts in reliability theory

Author keywords

Disjunction and conjunctions of paths and cuts; Path and cut enumeration; Reliability theory

Indexed keywords

ALGORITHMS; GRAPH THEORY; POLYNOMIAL APPROXIMATION; PROBLEM SOLVING; SET THEORY;

EID: 33751167402     PISSN: 0166218X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.dam.2006.04.032     Document Type: Article
Times cited : (10)

References (16)
  • 1
    • 0020140083 scopus 로고
    • Determination of all cutsets between a node pair in an undirected graph
    • Abel U., and Bicker R. Determination of all cutsets between a node pair in an undirected graph. IEEE Trans. Reliability 31 (1986) 167-171
    • (1986) IEEE Trans. Reliability , vol.31 , pp. 167-171
    • Abel, U.1    Bicker, R.2
  • 2
    • 0020337825 scopus 로고
    • Minimal pathset and minimal cutset using search technique
    • Bansal V.K., Misra K.B., and Jain M.P. Minimal pathset and minimal cutset using search technique. Microelectr. Reliability 22 (1982) 1067-1075
    • (1982) Microelectr. Reliability , vol.22 , pp. 1067-1075
    • Bansal, V.K.1    Misra, K.B.2    Jain, M.P.3
  • 3
    • 35248852015 scopus 로고    scopus 로고
    • E. Boros, K. Elbassioni, V. Gurvich, L. Khachiyan, Algorithms for enumerating circuits in matroids, in: T. Ibaraki, N. Katoh, H. Ono (Eds.), 14th Annual International Symposium on Algorithms and Computation (ISAAC 2003), Lecture Notes in Computer Science, vol. 2906, Springer, Berlin, Heidelberg, New York, 2003, pp. 485-494.
  • 4
    • 35048856916 scopus 로고    scopus 로고
    • E. Boros, K. Elbassioni, V. Gurvich, L. Khachiyan, Enumerating minimal dicuts and strongly connected subgraphs and related geometric problems, in: D. Bienstock, G. Nemhauser (Eds.), Integer Programming and Combinatorial Optimization, 10th International IPCO Conference, Lecture Notes in Computer Science, vol. 3064, Springer, Berlin, Heidelberg, New York, 2004, pp. 152-162.
  • 6
    • 0036489509 scopus 로고    scopus 로고
    • An efficient network flow code for finding all minimum cost s - t cutsets
    • Curet N.D., DeVinney J., and Gaston M.E. An efficient network flow code for finding all minimum cost s - t cutsets. Comput. Oper. Res. 29 (2002) 205-219
    • (2002) Comput. Oper. Res. , vol.29 , pp. 205-219
    • Curet, N.D.1    DeVinney, J.2    Gaston, M.E.3
  • 7
    • 0027624571 scopus 로고
    • Extracting maximum information about sets of minimum cuts
    • Gusfield D., and Naor D. Extracting maximum information about sets of minimum cuts. Algorithmica 10 (1993) 64-89
    • (1993) Algorithmica , vol.10 , pp. 64-89
    • Gusfield, D.1    Naor, D.2
  • 8
    • 8444242925 scopus 로고    scopus 로고
    • An algorithm for enumerating all spanning trees of a directed graph
    • Kapoor S., and Ramesh H. An algorithm for enumerating all spanning trees of a directed graph. Algorithmica 27 (2000) 120-130
    • (2000) Algorithmica , vol.27 , pp. 120-130
    • Kapoor, S.1    Ramesh, H.2
  • 9
    • 33751198170 scopus 로고    scopus 로고
    • L. Lovász, Submodular functions and convexity, in: Mathematical Programming: The State of the Art, Bonn 1982, Springer, Berlin, 1983, pp. 235-257.
  • 10
    • 0004061262 scopus 로고
    • Oxford University Press, Oxford
    • Oxley J. Matroid Theory (1992), Oxford University Press, Oxford
    • (1992) Matroid Theory
    • Oxley, J.1
  • 11
    • 0021432646 scopus 로고
    • Computing network reliability in time polynomial in the number of cuts
    • Provan J.S., and Ball M.O. Computing network reliability in time polynomial in the number of cuts. Oper. Res. 32 (1984) 516-526
    • (1984) Oper. Res. , vol.32 , pp. 516-526
    • Provan, J.S.1    Ball, M.O.2
  • 12
    • 0000402268 scopus 로고    scopus 로고
    • A paradigm for listing (s, t) cuts in graphs
    • Provan J.S., and Shier D.R. A paradigm for listing (s, t) cuts in graphs. Algorithmica 15 (1996) 351-372
    • (1996) Algorithmica , vol.15 , pp. 351-372
    • Provan, J.S.1    Shier, D.R.2
  • 13
    • 0016523213 scopus 로고
    • Bounds on backtrack algorithms for listing cycles, paths, and spanning trees
    • Read R.C., and Tarjan R.E. Bounds on backtrack algorithms for listing cycles, paths, and spanning trees. Networks 5 (1975) 237-252
    • (1975) Networks , vol.5 , pp. 237-252
    • Read, R.C.1    Tarjan, R.E.2
  • 14
    • 84990188207 scopus 로고    scopus 로고
    • T. Uno, An algorithm for enumerating all directed spanning trees in a directed graph, in: T. Asano, Y. Igarashi, H. Nagamochi, S. Miyano, S. Suri (Eds.), Seventh International Symposium on Algorithms and Computation (ISAAC 1996), Lecture Notes in Computer Science, vol. 1178, Springer, Berlin, Heidelberg, New York, 1996, pp. 166-173.
  • 15
    • 33751170985 scopus 로고    scopus 로고
    • V. Vazirani, Approximation Algorithms, Springer, Berlin, 2001.
  • 16
    • 0004045430 scopus 로고
    • Academic Press, London, New York, San Francisco
    • Welsh D.J.A. Matroid Theory (1976), Academic Press, London, New York, San Francisco
    • (1976) Matroid Theory
    • Welsh, D.J.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.