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Volumn 15, Issue 4, 1996, Pages 351-372

A Paradigm for Listing (s, t)-Cuts in Graphs

Author keywords

Algorithm; Cut; Enumeration; Generation; Ideal

Indexed keywords


EID: 0000402268     PISSN: 01784617     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf01961544     Document Type: Article
Times cited : (48)

References (32)
  • 1
    • 0020140083 scopus 로고
    • Determination of all minimal cut-sets between a vertex pair in an undirected graph
    • U. Abel and R. Bicker, Determination of all minimal cut-sets between a vertex pair in an undirected graph, IEEE Trans. Reliability 31 (1982), 167-171.
    • (1982) IEEE Trans. Reliability , vol.31 , pp. 167-171
    • Abel, U.1    Bicker, R.2
  • 3
    • 1542560072 scopus 로고
    • Null nonterminal insertion in LR(k) grammars
    • Department of Electrical Engineering and Computer Science, University of Michigan
    • M. R. Anderson, Null nonterminal insertion in LR(k) grammars, Technical Report CSE-TR-49-90, Department of Electrical Engineering and Computer Science, University of Michigan, 1990.
    • (1990) Technical Report CSE-TR-49-90
    • Anderson, M.R.1
  • 4
    • 0020766597 scopus 로고
    • Calculating bounds on reachability and connectedness in stochastic networks
    • M. O. Ball and J. S. Provan, Calculating bounds on reachability and connectedness in stochastic networks, Networks 13 (1983), 253-278.
    • (1983) Networks , vol.13 , pp. 253-278
    • Ball, M.O.1    Provan, J.S.2
  • 6
    • 0041523793 scopus 로고
    • An implicit enumeration scheme for proper cut generation
    • M. Bellmore and P. A. Jensen, An implicit enumeration scheme for proper cut generation, Technometrics 12 (1970), 775-788.
    • (1970) Technometrics , vol.12 , pp. 775-788
    • Bellmore, M.1    Jensen, P.A.2
  • 8
    • 0015626643 scopus 로고
    • A Boolean algebra method for computing the terminal reliability in a communication network
    • L. Fratta and U. G. Montanari, A Boolean algebra method for computing the terminal reliability in a communication network, IEEE Trans. Circuit Theory 20 (1973), 203-211.
    • (1973) IEEE Trans. Circuit Theory , vol.20 , pp. 203-211
    • Fratta, L.1    Montanari, U.G.2
  • 9
    • 0022044535 scopus 로고
    • An algorithm to aid in the design of large scale networks
    • M. L. Gardner, An algorithm to aid in the design of large scale networks, Large Scale Systems 8 (1985), 147-156.
    • (1985) Large Scale Systems , vol.8 , pp. 147-156
    • Gardner, M.L.1
  • 10
    • 0000748672 scopus 로고
    • Multi-terminal network flows
    • R. E. Gomory and T. C. Hu, Multi-terminal network flows, SIAM J. Appl. Math. 9 (1961), 551-570.
    • (1961) SIAM J. Appl. Math. , vol.9 , pp. 551-570
    • Gomory, R.E.1    Hu, T.C.2
  • 11
    • 0025383440 scopus 로고
    • Very simple methods for all pairs network flow analysis
    • D. Gusfield, Very simple methods for all pairs network flow analysis, SIAM J. Comput. 19 (1990), 143-155.
    • (1990) SIAM J. Comput. , vol.19 , pp. 143-155
    • Gusfield, D.1
  • 12
    • 0027624571 scopus 로고
    • Extracting maximal information about sets of minimum cuts
    • D. Gusfield and D. Naor, Extracting maximal information about sets of minimum cuts, Algorithmica 10 (1993), 64-89.
    • (1993) Algorithmica , vol.10 , pp. 64-89
    • Gusfield, D.1    Naor, D.2
  • 13
    • 0003780715 scopus 로고
    • Addison-Wesley, Reading, MA
    • F. Harary, Graph Theory, Addison-Wesley, Reading, MA, 1971.
    • (1971) Graph Theory
    • Harary, F.1
  • 14
    • 0021975315 scopus 로고
    • A linear time algorithm for finding dominators in flow graphs and related problems
    • D. Harel, A linear time algorithm for finding dominators in flow graphs and related problems (extended abstract), Proc. 17th Annual ACM Symposium on Theory of Computing, 1985, pp. 185-194.
    • (1985) Proc. 17th Annual ACM Symposium on Theory of Computing , pp. 185-194
    • Harel, D.1
  • 15
    • 0009088362 scopus 로고
    • Solution bases of multi-terminal cut problems
    • R. Hassin, Solution bases of multi-terminal cut problems, Math. Oper. Res. 13 (1988), 535-542.
    • (1988) Math. Oper. Res. , vol.13 , pp. 535-542
    • Hassin, R.1
  • 16
    • 0014596194 scopus 로고
    • An algorithm to determine the reliability of a complex system
    • P. A. Jensen and M. Bellmore, An algorithm to determine the reliability of a complex system, IEEE Trans. Reliability 18 (1969), 169-174.
    • (1969) IEEE Trans. Reliability , vol.18 , pp. 169-174
    • Jensen, P.A.1    Bellmore, M.2
  • 17
    • 84994016285 scopus 로고
    • Finding all minimum size separating vertex sets in a graph
    • A. Kanevsky, Finding all minimum size separating vertex sets in a graph, Networks 23 (1993), 533-541.
    • (1993) Networks , vol.23 , pp. 533-541
    • Kanevsky, A.1
  • 18
    • 0022152876 scopus 로고
    • An improved implementation of conditional Monte Carlo estimation of path lengths in stochastic networks
    • V. G. Kulkarni and J. S. Provan, An improved implementation of conditional Monte Carlo estimation of path lengths in stochastic networks, Oper. Res. 33 (1985), 1389-1393.
    • (1985) Oper. Res. , vol.33 , pp. 1389-1393
    • Kulkarni, V.G.1    Provan, J.S.2
  • 19
    • 77951587888 scopus 로고
    • Sequencing jobs to minimize total weighted completion time subject to precedence constraints
    • E. L. Lawler, Sequencing jobs to minimize total weighted completion time subject to precedence constraints, Ann. Discrete Math. 2 (1978), 75-90.
    • (1978) Ann. Discrete Math. , vol.2 , pp. 75-90
    • Lawler, E.L.1
  • 20
    • 34250404286 scopus 로고
    • Vertex packings: Structural properties and algorithms
    • G. L. Nemhauser and L. E. Trotter, Vertex packings: structural properties and algorithms, Math. Programming 8 (1975), 232-248.
    • (1975) Math. Programming , vol.8 , pp. 232-248
    • Nemhauser, G.L.1    Trotter, L.E.2
  • 21
    • 0002694122 scopus 로고
    • On the structure of all minimum cuts in a network and applications
    • J. C. Picard and M. Queyranne, On the structure of all minimum cuts in a network and applications, Math. Programming Stud. 13 (1980), 8-16.
    • (1980) Math. Programming Stud. , vol.13 , pp. 8-16
    • Picard, J.C.1    Queyranne, M.2
  • 22
    • 0020208962 scopus 로고
    • Selected applications of minimum cuts in networks
    • J. C. Picard and M. Queyranne, Selected applications of minimum cuts in networks, INFOR 20 (1982), 394-422.
    • (1982) INFOR , vol.20 , pp. 394-422
    • Picard, J.C.1    Queyranne, M.2
  • 23
    • 0028766969 scopus 로고
    • Efficient enumeration of the vertices of polyhedra associated with network LP's
    • J. S. Provan, Efficient enumeration of the vertices of polyhedra associated with network LP's, Math. Programming 63 (1994), 47-64.
    • (1994) Math. Programming , vol.63 , pp. 47-64
    • Provan, J.S.1
  • 24
    • 84986958657 scopus 로고
    • Exact cuts in networks
    • J. S. Provan and V. G. Kulkarni, Exact cuts in networks, Networks 19 (1989), 281-289.
    • (1989) Networks , vol.19 , pp. 281-289
    • Provan, J.S.1    Kulkarni, V.G.2
  • 25
    • 0023560289 scopus 로고
    • Counting almost minimum cutsets with reliability applications
    • A. Ramanathan and C. J. Colbourn, Counting almost minimum cutsets with reliability applications, Math. Programming 39 (1987), 253-261.
    • (1987) Math. Programming , vol.39 , pp. 253-261
    • Ramanathan, A.1    Colbourn, C.J.2
  • 26
    • 0016523213 scopus 로고
    • Bounds on backtrack algorithms for listing cycles, paths, and spanning trees
    • R. C. Read and R. E. Tarjan, 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
  • 28
    • 0018738242 scopus 로고
    • The use of cutsets in Monte Carlo analysis of stochastic networks
    • C. E. Sigal, A. A. B. Pritsker, and J. J. Solberg, The use of cutsets in Monte Carlo analysis of stochastic networks, Math. Comput. Simulation 21 (1979), 376-384.
    • (1979) Math. Comput. Simulation , vol.21 , pp. 376-384
    • Sigal, C.E.1    Pritsker, A.A.B.2    Solberg, J.J.3
  • 29
    • 0022906930 scopus 로고
    • An algorithm to generate the ideals of a partial order
    • G. Steiner, An algorithm to generate the ideals of a partial order, Oper. Res. Lett. 5 (1986), 317-320.
    • (1986) Oper. Res. Lett. , vol.5 , pp. 317-320
    • Steiner, G.1
  • 30
    • 0004947446 scopus 로고
    • Finding dominators in directed graphs
    • R. E. Tarjan, Finding dominators in directed graphs, SIAM J. Comput. 3 (1974), 62-89.
    • (1974) SIAM J. Comput. , vol.3 , pp. 62-89
    • Tarjan, R.E.1
  • 31
    • 84976688444 scopus 로고
    • An algorithm to enumerate all cutsets of a graph in linear time per cutset
    • S. Tsukiyama, I. Shirakawa, H. Ozaki, and H. Ariyoshi, An algorithm to enumerate all cutsets of a graph in linear time per cutset, J. Assoc. Comput. Mach. 27 (1980), 619-632.
    • (1980) J. Assoc. Comput. Mach. , vol.27 , pp. 619-632
    • Tsukiyama, S.1    Shirakawa, I.2    Ozaki, H.3    Ariyoshi, H.4
  • 32
    • 1542665031 scopus 로고
    • The path matrix and switching functions
    • O. Wing and W. H. Kim, The path matrix and switching functions, J. Franklin Inst. 268 (1959), 251-269.
    • (1959) J. Franklin Inst. , vol.268 , pp. 251-269
    • Wing, O.1    Kim, W.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.