An o(n log n) algorithm for suboptimal rectilinear steiner trees

IEEE Transactions on Circuits and Systems

Volumn 26, Issue 1, 1979, Pages 75-77

  Hwang, F K ^a  

^a LUCENT TECHNOLOGIES   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER PROGRAMMING - SUBROUTINES; MATHEMATICAL TECHNIQUES - TREES;

ELECTRIC NETWORKS;

EID: 0018286308     PISSN: 00984094     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCS.1979.1084551     Document Type: Article

References (12)

1. A. V. Aho, J. E. Hopcroft, and J. D. Ullman, The Design and Analysis of Computer Algorithms Reading, MA: Addison-Wesley, 1974, p. 470.
2. M. R. Garey and D. S. Johnson, “The rectilinear Steiner tree problem is NP complete,” SIAM J. Appl. Math., vol. 32, pp. 826-834, June 1977.
3. M. Hanan, “On Steiner's problem with rectilinear distance,” SIAM J. Appl. Math., vol. 14, pp. 255-265, Mar. 1966.
4. M. Hanan, “Net wiring for large scale integrated circuits,” IBM Res. Rep. RC1375, 1965.
5. F. K. Hwang, “On Steiner minimal trees with rectilinear distance,” SIAM J. Appl. Math., vol. 30, pp. 104-114, Jan. 1976.
6. F. K. Hwang, “An O(n log n) algorithm for rectilinear minimal spanning trees,” to be published in J. Assoc. Comput. Mach.
7. J. H. Lee, N. K. Bose, and F. K. Hwang, “Use of Steiner's problem in Suboptimal routing in rectilinear metric,” IEEE Trans. Circuits Syst., vol. CAS-23, pp. 470-476, July 1976.
8. J. B. Kruskal, “On the shortest spanning subtree of a graph,” Proc. Amer. Math. Soc., vol. 7, pp. 48-50, Feb. 1956.
9. R. C. Prim, “Shortest connecting networks and some generalizations,” Bell Syst. Tech. J., vol. 36, pp. 1389-1401, Nov. 1957.
10. M. I. Shamos and D. Hoey, “Closest point problems,” in Proc. 16th Ann. Symp. on Foundations of Computer Science (IEEE), pp. 151-162, 1975.
11. Y. Y. Yang, “Optimal and suboptimal solution algorithm for the wiring problem,” Ph.D. dissertation, Columbia Univ., 1972.
12. Y. Y. Yang and O. Wing, “Suboptimal algorithm for a wire routing problem,” IEEE Trans. Circuit Theory, vol. CT-19, pp. 508-511, Sept. 1972.