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Volumn 4, Issue 2, 2005, Pages 199-217

A Sausage heuristic for Steiner minimal trees in three-dimensional euclidean space

Author keywords

Computational geometry; Heuristics

Indexed keywords


EID: 21244445814     PISSN: 15701166     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10852-004-6390-x     Document Type: Article
Times cited : (14)

References (18)
  • 4
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    • Disproofs of generalized Gilbert-Pollak conjecture on the Steiner ratio in three or more dimensions
    • Du, D. Z. and Smith, W. D.: Disproofs of generalized Gilbert-Pollak conjecture on the Steiner ratio in three or more dimensions, J. Combin. Theory Ser. A 74 (1996), 115-130.
    • (1996) J. Combin. Theory Ser. A , vol.74 , pp. 115-130
    • Du, D.Z.1    Smith, W.D.2
  • 5
    • 0026761992 scopus 로고
    • A proof of the Gilbert-Pollak conjecture on the Steiner ratio
    • Du, D. Z. and Hwang, F. K.: A proof of the Gilbert-Pollak conjecture on the Steiner ratio, Algorithmica 7 (1992), 121-135.
    • (1992) Algorithmica , vol.7 , pp. 121-135
    • Du, D.Z.1    Hwang, F.K.2
  • 6
    • 0001465710 scopus 로고
    • Voronoi diagrams and Delaunay triangulations
    • D. Z. Du and F. K. Hwang (eds), World Scientific, Singapore
    • Fortune, S. J.: Voronoi diagrams and Delaunay triangulations, in D. Z. Du and F. K. Hwang (eds), Computing in Euclidean Geometry, World Scientific, Singapore, 1992, pp. 193-233.
    • (1992) Computing in Euclidean Geometry , pp. 193-233
    • Fortune, S.J.1
  • 7
    • 0000287785 scopus 로고
    • The complexity of computing Steiner minimal trees
    • Garey, M. R., Graham, R. L. and Johnson, D. S.: The complexity of computing Steiner minimal trees, SIAM J. Appl. Math. 32(4) (1977), 835-859.
    • (1977) SIAM J. Appl. Math. , vol.32 , Issue.4 , pp. 835-859
    • Garey, M.R.1    Graham, R.L.2    Johnson, D.S.3
  • 10
    • 70350674995 scopus 로고
    • On the shortest spanning subtree of a graph and the TSF
    • Kruskal, J. B.: On the shortest spanning subtree of a graph and the TSF, Proc. Amer. Math. Soc. (1956), 48-50.
    • (1956) Proc. Amer. Math. Soc. , pp. 48-50
    • Kruskal, J.B.1
  • 11
    • 0000426814 scopus 로고
    • On the problem of Steiner
    • Melzak, Z. A.: On the problem of Steiner, Canad. Math. Bull. 4 (1961), 143-148.
    • (1961) Canad. Math. Bull. , vol.4 , pp. 143-148
    • Melzak, Z.A.1
  • 12
    • 84911584312 scopus 로고
    • Shortest connection networks and some generalizations
    • Prim, R. C.: Shortest connection networks and some generalizations, Bell System Tech. J. 36 (1957), 1389-1401.
    • (1957) Bell System Tech. J. , vol.36 , pp. 1389-1401
    • Prim, R.C.1
  • 14
    • 0026711351 scopus 로고
    • How to find Steiner minimal trees in Euclidean d-space
    • Smith, W. D.: How to find Steiner minimal trees in Euclidean d-space, Algorithmica 7 (1992), 137-177.
    • (1992) Algorithmica , vol.7 , pp. 137-177
    • Smith, W.D.1
  • 16
    • 21244466102 scopus 로고
    • CBMS-NSF Regional Conference Series in Applied Mathematics 44, SIAM, Philadelphia, PA
    • Tarjan, R. E.: Data Structures and Network Algorithms, CBMS-NSF Regional Conference Series in Applied Mathematics 44, SIAM, Philadelphia, PA, 1983.
    • (1983) Data Structures and Network Algorithms
    • Tarjan, R.E.1
  • 17
    • 0002642479 scopus 로고    scopus 로고
    • Exact algorithms for plane Steiner tree problems: A computational study
    • D. Z. Du, J. M. Smith and J. H. Rubinstein (eds), Kluwer Academic Publishers
    • Warme, D. M., Winter, P. and Zachariasen, M.: Exact algorithms for plane Steiner tree problems: A computational study, in D. Z. Du, J. M. Smith and J. H. Rubinstein (eds), Advances in Steiner Trees, Kluwer Academic Publishers, 2000, pp. 81-116.
    • (2000) Advances in Steiner Trees , pp. 81-116
    • Warme, D.M.1    Winter, P.2    Zachariasen, M.3
  • 18
    • 84987034438 scopus 로고
    • Steiner problem in networks: A survey
    • Winter, P.: Steiner problem in networks: A survey, Networks 17 (1987), 129-167.
    • (1987) Networks , vol.17 , pp. 129-167
    • Winter, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.