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A polynomial-time approximation scheme for Steiner tree in planar graphs
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Source Symposium on Discrete Algorithms archive
Proceedings of the eighteenth annual ACM-SIAM symposium on Discrete algorithms table of contents
New Orleans, Louisiana
Pages: 1285 - 1294  
Year of Publication: 2007
ISBN:978-0-898716-24-5
Authors
Glencora Borradaile  Brown University
Claire Kenyon-Mathieu  Brown University
Philip Klein  Brown University
Sponsors
: SIAM Activity Group on Discrete Mathematics
SIGACT: ACM Special Interest Group on Algorithms and Computation Theory
Publisher
Society for Industrial and Applied Mathematics  Philadelphia, PA, USA
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Downloads (6 Weeks): 15,   Downloads (12 Months): 95,   Citation Count: 1
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ABSTRACT

We give an O(n log n) approximation scheme for Steiner tree in planar graphs.


REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

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M. Bern. Faster exact algorithms for steiner trees in planar networks. Networks, 20:109--120, 1990.
 
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M. Bern and D. Bienstock. Polynomially solvable special cases of the steiner problem in planar networks. Annals of Operations Research, 33:405--418, 1991.
 
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I. Hicks, A. Koster, and E. Kolotoǧlu. Branch and tree decomposition techniques for discrete optimization. In J. Smith, editor, TutORials 2005, INFORMS TutORials in Operations Research Series, chapter 1, pages 1-29. INFORMS Annual Meeting, 2005.
 
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L. Kou, G. Markowsky, and L. Berman. A fast algorithm for Steiner trees. Acta Informatica, 15:141--145, 1981.
 
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H. Takahashi and A. Matsuyama. An approximate solution for the steiner problem in graphs. Mathematica Japonicae, 24:571--577, 1980.
 
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Collaborative Colleagues:
Glencora Borradaile: colleagues
Claire Kenyon-Mathieu: colleagues
Philip Klein: colleagues