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When trees collide: an approximation algorithm for the generalized Steiner problem on networks
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Source Annual ACM Symposium on Theory of Computing archive
Proceedings of the twenty-third annual ACM symposium on Theory of computing table of contents
New Orleans, Louisiana, United States
Pages: 134 - 144  
Year of Publication: 1991
ISBN:0-89791-397-3
Authors
Ajit Agrawal  Brown Univ., Providence, RI
Philip Klein  Brown Univ., Providence, RI
R. Ravi  Brown Univ., Providence, RI
Sponsor
SIGACT: ACM Special Interest Group on Algorithms and Computation Theory
Publisher
ACM  New York, NY, USA
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Downloads (6 Weeks): 9,   Downloads (12 Months): 79,   Citation Count: 16
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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.

 
1
Y. P. Aneja, "An integer linear programming approach to the Steiner problem in graphs', Networks, vol. 10 (1980) 167-178.
 
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J. Edmonds, and E. L. Johnson, "Matching, Euler tours and the Chinese postman", Math. Programming, vol. 5 (#973) pp. 88-124.
 
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C. E1-Arbi, "One heuristique pour le problem de l'arbre de Steiner", R.A.LR.O. Operations Research, vol. 15 (1978), pp. 207-212.
 
5
M. X. Goemans, and D. J. Bertsimas, "Survivable Networks, Linear Programming Relaxations and the Parsimonious Property", OR 216-90, Center for Operations B.esearch, MIT (1990).
 
6
A. J a in, "Probabilistic analysis of an LP relaxation bound for the Steiner problem in networks", Networks, vol. 19 (1989), pp. T93-80#.
 
7
R. M. Karp, "Reducibility among combinatorial problems", in R. E. Miller and 3. W. Thatcher (eds.), Complexity of Computer Computations. Plenum Press, New York (1972) pp. ss-10s.
 
8
P. N. Klein, A. Agrawal, R. Ravi, and S. Rao, "Approximation through multicommodity flow", 31st Annual Syrup. on Foundations o.f Comp. Sci., (1990), pp. 726-737.
 
9
L. Kou, G. Markowsky, and L. Berman, "A fast algorithm for Steiner trees", Acts Informatica, vol. 15 (1981), pp. 141-145.
 
10
L. Ldvasz, "An algorithmic theory of numbers, graphs and convexity". SIAM, Philadelphia (1986).
 
11
M. Minoux, "Network synthesis and optimum network design problems: models, solution methods and applications", Networks, vol. 19 (1989) pp. 313-360.
 
12
3. Plesnik, "A bound for the Steiner tree problem in graphs", Math. Slovaca, vol. 31 (1981) pp. 155-163.
 
13
V.J. Rayward-Smith, "The computation of nearly minimal Steiner trees in graphs", Int. J. Math. Educ. Sci. Tech., vol. 14 (1983), pp. 15-23.
 
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15
G. F. Sullivan, "Approximation algorithms for Steiner tree problems", Tech. Rep. 249, Dept. of Comp. Sci., Yale Univ. (1982).
 
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17
H. Takahashi, and A. Matsuyama, " An approximate solution for the Steiner problem in graphs", Math. Japonica, vol. $# (1980) pp. 573-577.
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19
L. G. Valiant, "The complexity of enumeration and reliability problems", Siam J. Comput., vol. 8 (1979), pp. 410-421.
 
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22
R. T. Wong, "Worst-case analysis of network design problem heuristics", SIAM J. Alg. Disc. Math., vol. i (1980), pp. 51-63.
 
23
R. T. Wong, "A dual ascent approach for Steiner tree problems on a directed graph", Math. Program., vol. $8, (1984) pp. 271-287.

CITED BY  16

Collaborative Colleagues:
Ajit Agrawal: colleagues
Philip Klein: colleagues
R. Ravi: colleagues