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Volumn 36, Issue 2, 2000, Pages 104-113

The local steiner problem in normed planes

Author keywords

Minkowski planes; Normed planes; Steiner minimal trees; Steiner minimum trees; Steiner trees

Indexed keywords


EID: 0034259949     PISSN: 00283045     EISSN: None     Source Type: Journal    
DOI: 10.1002/1097-0037(200009)36:2<104::AID-NET5>3.0.CO;2-K     Document Type: Article
Times cited : (18)

References (27)
  • 2
    • 0032156828 scopus 로고    scopus 로고
    • Polynomial time approximation schemes for Euclidean traveling salesman and other geometric problems
    • [2] S. Arora, Polynomial time approximation schemes for Euclidean traveling salesman and other geometric problems, J ACM 45 (1998), 753-782.
    • (1998) J ACM , vol.45 , pp. 753-782
    • Arora, S.1
  • 3
    • 0002594477 scopus 로고
    • The vertex-degrees of Steiner minimal trees in Minkowski planes
    • R. Bodendiek and R. Henn (Editors). Physica-Verlag, Heidelberg
    • [3] D. Cieslik, "The vertex-degrees of Steiner minimal trees in Minkowski planes," Topics in combinatorics and graph theory, R. Bodendiek and R. Henn (Editors). Physica-Verlag, Heidelberg, 1990, pp. 201-206.
    • (1990) Topics in Combinatorics and Graph Theory , pp. 201-206
    • Cieslik, D.1
  • 5
    • 0000532866 scopus 로고
    • On the steiner problem
    • [5] E.J. Cockayne, On the Steiner problem, Can Math Bull 10 (1967), 431-450.
    • (1967) Can Math Bull , vol.10 , pp. 431-450
    • Cockayne, E.J.1
  • 8
    • 0021442314 scopus 로고
    • Geometrical properties of the Fermat-Weber problem
    • [8] R. Durier and C. Michelot, Geometrical properties of the Fermat-Weber problem, Eur J Oper Res 20 (1985), 332-343.
    • (1985) Eur J Oper Res , vol.20 , pp. 332-343
    • Durier, R.1    Michelot, C.2
  • 9
    • 84949186665 scopus 로고    scopus 로고
    • Solving rectilinear Steiner tree problems exactly in theory and practice
    • Gerhard Woeginger (Editor), Lecture Notes in Computer Science, Springer-Verlag, Verlin
    • [9] U. Fößmeier and M. Kaufmann, Solving rectilinear Steiner tree problems exactly in theory and practice, Proc 5th Ann European Symp on Algorithms, Gerhard Woeginger (Editor), Lecture Notes in Computer Science, Vol. 1284, Springer-Verlag, Verlin, 1997, pp. 171-185.
    • (1997) Proc 5th Ann European Symp on Algorithms , vol.1284 , pp. 171-185
    • Fößmeier, U.1    Kaufmann, M.2
  • 10
    • 0000287785 scopus 로고
    • The complexity of computing Steiner minimal trees
    • [10] M.R. Garey, R.L. Graham, and D.S. Johnson, The complexity of computing Steiner minimal trees, SIAM J Appl Math 32 (1977), 835-839.
    • (1977) SIAM J Appl Math , vol.32 , pp. 835-839
    • Garey, M.R.1    Graham, R.L.2    Johnson, D.S.3
  • 11
    • 0000727336 scopus 로고
    • The rectilinear Steiner tree problem is NP-complete
    • [11] M.R. Garey and D.S. Johnson, The rectilinear Steiner tree problem is NP-complete, SIAM J Appl Math 32 (1977), 826-834.
    • (1977) SIAM J Appl Math , vol.32 , pp. 826-834
    • Garey, M.R.1    Johnson, D.S.2
  • 13
    • 0000814769 scopus 로고
    • On Steiner's problem with rectilinear distance
    • [13] M. Hanan, On Steiner's problem with rectilinear distance, SIAM J Appl Math 14 (1966), 255-265.
    • (1966) SIAM J Appl Math , vol.14 , pp. 255-265
    • Hanan, M.1
  • 16
    • 0011347408 scopus 로고
    • "Steiner trees in VLSI-layout," paths, flows, and VLSI-layout
    • B. Korte, L. Lovász, H.J. Prömel, A. Schrijuer (Editors), Springer-Verlag, Berlin
    • [16] B. Korte, H.J. Prömel, and A. Steger, "Steiner trees in VLSI-layout," Paths, flows, and VLSI-layout, B. Korte, L. Lovász, H.J. Prömel, A. Schrijuer (Editors), Algorithms and Combinatorics, Vol. 9, Springer-Verlag, Berlin, 1990, pp. 185-214.
    • (1990) Algorithms and Combinatorics , vol.9 , pp. 185-214
    • Korte, B.1    Prömel, H.J.2    Steger, A.3
  • 17
    • 0002472192 scopus 로고    scopus 로고
    • Geometric aspects of the generalized Fermat-Torricelli problem
    • Bolyai Society Mathematical Studies, Budapest
    • [17] Y.S. Kupitz and H. Martini, "Geometric aspects of the generalized Fermat-Torricelli problem," Intuitive geometry, Bolyai Society Mathematical Studies, Budapest, 1997, Vol. 6, pp. 55-127.
    • (1997) Intuitive Geometry , vol.6 , pp. 55-127
    • Kupitz, Y.S.1    Martini, H.2
  • 18
    • 84972550835 scopus 로고
    • Paired calibrations applied to soap films, immiscible fluids, and surfaces and networks minimizing other norms
    • [18] G.R. Lawlor and F. Morgan, Paired calibrations applied to soap films, immiscible fluids, and surfaces and networks minimizing other norms, Pac J Math 166 (1994), 55-82.
    • (1994) Pac J Math , vol.166 , pp. 55-82
    • Lawlor, G.R.1    Morgan, F.2
  • 19
    • 84990238035 scopus 로고    scopus 로고
    • The Steiner minimal tree problem in the λ-geometry plane
    • T. Asano, Y. Igarashi, H. Nagamochi, S. Miyano, S. Suri. (Editors), Lecture Notes in Computer Science, Springer-Verlag, Berlin
    • [19] D.T. Lee and C.-F. Shen, The Steiner minimal tree problem in the λ-geometry plane, Proc 7th Int Symp on Algorithms and Computation, T. Asano, Y. Igarashi, H. Nagamochi, S. Miyano, S. Suri. (Editors), Lecture Notes in Computer Science, Vol. 1178, Springer-Verlag, Berlin, 1996, pp. 247-255.
    • (1996) Proc 7th Int Symp on Algorithms and Computation , vol.1178 , pp. 247-255
    • Lee, D.T.1    Shen, C.-F.2
  • 23
    • 0033297734 scopus 로고    scopus 로고
    • Approximating hexagonal Steiner minimal trees by fast optimal layout of minimum spanning trees
    • [23] G.-H. Lin, G.L. Xue, and D. Zhou, Approximating hexagonal Steiner minimal trees by fast optimal layout of minimum spanning trees, 1999 Int Conf on Computer Design, IEEE, 1999, pp. 392-398.
    • (1999) 1999 Int Conf on Computer Design, IEEE , pp. 392-398
    • Lin, G.-H.1    Xue, G.L.2    Zhou, D.3
  • 24
    • 0000426814 scopus 로고
    • On the problem of Steiner
    • [24] Z.A. Melzak, On the problem of Steiner, Can Math Bull 4 (1961), 143-148.
    • (1961) Can Math Bull , vol.4 , pp. 143-148
    • Melzak, Z.A.1
  • 25
    • 0026927206 scopus 로고
    • Hierarchical Steiner tree construction in uniform orientations
    • [25] M. Sarrafzadeh and C.K. Wong, Hierarchical Steiner tree construction in uniform orientations, IEEE Trans Comput Aided Design 11 (1992), 1095-1103.
    • (1992) IEEE Trans Comput Aided Design , vol.11 , pp. 1095-1103
    • Sarrafzadeh, M.1    Wong, C.K.2
  • 27
    • 0041165532 scopus 로고    scopus 로고
    • Euclidean Steiner minimum trees: An improved exact algorithm
    • [27] P. Winter and M. Zachariasen, Euclidean Steiner minimum trees: an improved exact algorithm, Networks 30 (1997), 149-166.
    • (1997) Networks , vol.30 , pp. 149-166
    • Winter, P.1    Zachariasen, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.