메뉴 건너뛰기




Volumn 6, Issue 1, 1996, Pages 5-14

A heuristic for the Steiner problem in graphs

Author keywords

Heuristics; Minimum spanning tree; Steiner problem; Testing

Indexed keywords

ALGORITHMS; CALCULATIONS; COMPUTATIONAL COMPLEXITY; GRAPH THEORY; POLYNOMIALS; SET THEORY;

EID: 0030190482     PISSN: 09266003     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF00248006     Document Type: Article
Times cited : (9)

References (20)
  • 1
    • 56449107505 scopus 로고
    • OR-Library: Distributing test problems by electronic mail
    • J.E. Beasley, "OR-Library: Distributing test problems by electronic mail," J. of Oper. Res. Soc., vol. 41, no. 11, pp. 1069-1072, 1990.
    • (1990) J. of Oper. Res. Soc. , vol.41 , Issue.11 , pp. 1069-1072
    • Beasley, J.E.1
  • 2
    • 0026853351 scopus 로고
    • A heuristic for Euclidean and rectilinear Steiner problems
    • J.E. Beasley, "A heuristic for Euclidean and rectilinear Steiner problems," Europ. J. of Oper. Res., vol. 58, pp. 284-292, 1992.
    • (1992) Europ. J. of Oper. Res. , vol.58 , pp. 284-292
    • Beasley, J.E.1
  • 3
    • 25444506441 scopus 로고
    • Approximating the Steiner minimum tree
    • (P.M. Pardalos Ed.), World Scientific
    • D.-Z. Du, "Approximating the Steiner minimum tree," in Complexity in Numerical Optimization (P.M. Pardalos Ed.), World Scientific, pp. 88-106, 1993.
    • (1993) Complexity in Numerical Optimization , pp. 88-106
    • Du, D.-Z.1
  • 4
    • 0015200656 scopus 로고
    • Steiner's problem in graphs and its implications
    • S.L. Hakimi, "Steiner's problem in graphs and its implications," Networks, vol. 1, pp. 113-133, 1971.
    • (1971) Networks , vol.1 , pp. 113-133
    • Hakimi, S.L.1
  • 5
    • 0016891335 scopus 로고
    • On Steiner minimal trees with rectilinear distance
    • F.K. Hwang, "On Steiner minimal trees with rectilinear distance," SIAM J. Appl. Math., vol. 30, pp. 104-114, 1976.
    • (1976) SIAM J. Appl. Math. , vol.30 , pp. 104-114
    • Hwang, F.K.1
  • 6
    • 84863090748 scopus 로고
    • Steiner tree problems
    • F.K. Hwang and D.S. Richards, "Steiner tree problems," Networks, vol. 2, pp. 55-89, 1992.
    • (1992) Networks , vol.2 , pp. 55-89
    • Hwang, F.K.1    Richards, D.S.2
  • 8
    • 0003037529 scopus 로고
    • Reducibility among combinatorial problems
    • (R.E. Miller and J.W. Tatcher, Eds.), Plenum Press: New York
    • R.M. Karp, "Reducibility among combinatorial problems," Complexity of Computer Communications (R.E. Miller and J.W. Tatcher, Eds.), pp. 85-103, Plenum Press: New York, 1972.
    • (1972) Complexity of Computer Communications , pp. 85-103
    • Karp, R.M.1
  • 10
    • 0039419369 scopus 로고
    • Equivalent formulations for the Steiner problem in graphs
    • (P.M. Pardalos and D.-Z. Du Eds.), World Scientific
    • B.N. Khoury, P.M. Pardalos, and D.W. Hearn, "Equivalent formulations for the Steiner problem in graphs," in Network Optimization Problems (P.M. Pardalos and D.-Z. Du Eds.), World Scientific, pp. 111-124, 1993.
    • (1993) Network Optimization Problems , pp. 111-124
    • Khoury, B.N.1    Pardalos, P.M.2    Hearn, D.W.3
  • 11
    • 84957605475 scopus 로고
    • An exact branch and bound algorithm for the Steiner problem in graphs
    • Springer-Verlag, Lecture Notes in Computer Science (D. Du and M. Li Eds.)
    • B.N. Khoury and P.M. Pardalos, "An exact branch and bound algorithm for the Steiner problem in graphs," in Proceedings of COCOON'95, Springer-Verlag, Lecture Notes in Computer Science (D. Du and M. Li Eds.), vol. 959, pp. 582-590, 1995.
    • (1995) Proceedings of COCOON'95 , vol.959 , pp. 582-590
    • Khoury, B.N.1    Pardalos, P.M.2
  • 12
    • 0001343881 scopus 로고
    • Algorithms for the shortest connection of a group of graph vertices
    • A. Ju Levin, "Algorithms for the shortest connection of a group of graph vertices," Soviet Math. Doklady vol. 12, pp. 1477-1481, 1971.
    • (1971) Soviet Math. Doklady , vol.12 , pp. 1477-1481
    • Ju Levin, A.1
  • 13
    • 0022781638 scopus 로고
    • On finding Steiner vertices
    • V.J. Rayward-Smith and A. Clare, "On finding Steiner vertices," Networks, vol. 16, pp. 283-294, 1986.
    • (1986) Networks , vol.16 , pp. 283-294
    • Rayward-Smith, V.J.1    Clare, A.2
  • 15
    • 0008991283 scopus 로고
    • Set of test problems for the minimum length connection networks
    • J. Soukup and W.F. Chow, "Set of test problems for the minimum length connection networks," ACM/SIGMAP Newsletter, vol. 15, pp. 48-51, 1973.
    • (1973) ACM/SIGMAP Newsletter , vol.15 , pp. 48-51
    • Soukup, J.1    Chow, W.F.2
  • 16
    • 0000133156 scopus 로고
    • An approximate solution for the Steiner problem in graphs
    • H. Takahashi and A. Mutsuyama, "An approximate solution for the Steiner problem in graphs," Math. Jpn., vol. 24, pp. 573-477, 1980.
    • (1980) Math. Jpn. , vol.24 , pp. 573-1477
    • Takahashi, H.1    Mutsuyama, A.2
  • 18
    • 0001850931 scopus 로고
    • Steiner's problem in graphs: Heuristic methods
    • S. Voss, "Steiner's problem in graphs: Heuristic methods," Discrete Applied Mathematics, vol. 40, pp. 45-72, 1992.
    • (1992) Discrete Applied Mathematics , vol.40 , pp. 45-72
    • Voss, S.1
  • 19
    • 84987034438 scopus 로고
    • Steiner problem in networks: A survey
    • P. Winter, "Steiner problem in networks: A survey," Networks, vol. 17, pp. 129-167, 1987.
    • (1987) Networks , vol.17 , pp. 129-167
    • Winter, P.1
  • 20
    • 52449147871 scopus 로고
    • Path-distance heuristics for the Steiner problem in undirected networks
    • P. Winter and J. MacGregor Smith, "Path-distance heuristics for the Steiner problem in undirected networks," Algorithmica, vol. 7, pp. 309-328, 1992.
    • (1992) Algorithmica , vol.7 , pp. 309-328
    • Winter, P.1    MacGregor Smith, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.