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Volumn 4372 LNCS, Issue , 2007, Pages 196-207

Computing geometrie minimum-dilation graphs is NP-hard

Author keywords

Dilation; Geometric network; NP hardness; Plane graph; Spanning ratio; Stretch factor

Indexed keywords

COMPUTATIONAL GEOMETRY; EDGE DETECTION; PROBLEM SOLVING;

EID: 38149112031     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: None     Document Type: Conference Paper
Times cited : (20)

References (13)
  • 1
    • 33744953548 scopus 로고    scopus 로고
    • B. Aronov, M. de Berg, O. Cheong, J. Gudmundsson, H. Haverkort, and A. Vigneron. Sparse Geometric Graphs with Small Dilation. 16th International Symposium ISAAC 2005, Sanya. In X. Deng and D. Du (Eds.) Algorithms and Computation, Proceedings, pp. 50-59, LNCS 3827, Springer-Verlag, 2005.
    • B. Aronov, M. de Berg, O. Cheong, J. Gudmundsson, H. Haverkort, and A. Vigneron. Sparse Geometric Graphs with Small Dilation. 16th International Symposium ISAAC 2005, Sanya. In X. Deng and D. Du (Eds.) Algorithms and Computation, Proceedings, pp. 50-59, LNCS 3827, Springer-Verlag, 2005.
  • 3
    • 38049003709 scopus 로고
    • NP-Completeness of Minimum Spanner Problems
    • L. Cai. NP-Completeness of Minimum Spanner Problems. Discrete Applied Math. 48, pp. 187-194, 1994.
    • (1994) Discrete Applied Math , vol.48 , pp. 187-194
    • Cai, L.1
  • 5
    • 0029239056 scopus 로고
    • A decomposition of multidimensional point sets with applications to k-nearest-neighbors and n-body potential fields
    • P. Callahan and S. Kosaraju. A decomposition of multidimensional point sets with applications to k-nearest-neighbors and n-body potential fields. J. ACM 42(1), pp.67-90, 1995.
    • (1995) J. ACM , vol.42 , Issue.1 , pp. 67-90
    • Callahan, P.1    Kosaraju, S.2
  • 6
    • 38149017588 scopus 로고    scopus 로고
    • Computing a Minimum-Dilation Spanning Tree is NP-hard
    • Manuscript
    • O. Cheong, H. Haverkort, and M. Lee. Computing a Minimum-Dilation Spanning Tree is NP-hard, Manuscript, 2006
    • (2006)
    • Cheong, O.1    Haverkort, H.2    Lee, M.3
  • 7
    • 38149047298 scopus 로고    scopus 로고
    • A. Ebbers-Baumann, A. Grüne, and R. Klein. On the Geometric Dilation of Finite Point Sets. 14th International Symposium ISAAC 2003, Kyoto. In T. Ibaraki, N. Katoh, and H. Ono (Eds.) Algorithms and Computation, Proceedings, pp. 250-259, LNCS 2906, Springer-Verlag, 2003. Algorithmica 44, pp. 137-149, 2006.
    • A. Ebbers-Baumann, A. Grüne, and R. Klein. On the Geometric Dilation of Finite Point Sets. 14th International Symposium ISAAC 2003, Kyoto. In T. Ibaraki, N. Katoh, and H. Ono (Eds.) Algorithms and Computation, Proceedings, pp. 250-259, LNCS 2906, Springer-Verlag, 2003. Algorithmica 44, pp. 137-149, 2006.
  • 8
    • 0000786253 scopus 로고    scopus 로고
    • Spanning Trees and Spanners
    • J.-R. Sack and J. Urrutia, editors, pp, Elsevier
    • D. Eppstein. Spanning Trees and Spanners. In Handbook of Computational Geometry, J.-R. Sack and J. Urrutia, editors, pp. 425-461. Elsevier, 1999.
    • (1999) Handbook of Computational Geometry , pp. 425-461
    • Eppstein, D.1
  • 10
    • 0242542099 scopus 로고    scopus 로고
    • Tree Spanners in Planar Graphs
    • S. Fekete and J. Kremer. Tree Spanners in Planar Graphs. Discrete Applied Mathematics 108(1-2), pp. 85-103, 2001.
    • (2001) Discrete Applied Mathematics , vol.108 , Issue.1-2 , pp. 85-103
    • Fekete, S.1    Kremer, J.2
  • 11
    • 33746430071 scopus 로고    scopus 로고
    • On Spanners of Geometric Graphs
    • 10th Scandinavian Workshop on Algorithmic Theory (SWAT'06, L. Arge and R. Freivalds Eds, pp, Springer-Verlag
    • J. Gudmundsson and M. Smid. On Spanners of Geometric Graphs. 10th Scandinavian Workshop on Algorithmic Theory (SWAT'06). In L. Arge and R. Freivalds (Eds.), pp. 388-399, LNCS 4059, Springer-Verlag, 2006.
    • (2006) LNCS , vol.4059 , pp. 388-399
    • Gudmundsson, J.1    Smid, M.2
  • 13
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    • G. Narasimhan and M. Smid. Geometric Spanner Networks. Cambridge University Press, to appear.
    • G. Narasimhan and M. Smid. Geometric Spanner Networks. Cambridge University Press, to appear.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.