Abstract
We develop anO(n) algorithm to construct a rectangular dual of ann-vertex planar triangulated graph.
Similar content being viewed by others
References
J. Bhasker and S. Sahni, A linear algorithm to check for the existence of a rectangular dual of a planar triangulated graph,Networks,17 (1987), 307–317.
G. Brebner and D. Buchanan, On compiling structural descriptions to floorplans,Proceedings of the IEEE International Conference on Computer-Aided Design, Santa Clara, 1983, pp. 6–7.
J. Grason, A dual linear graph representation for space filling problem of the floor plan type, inEmerging Methods in Environmental Design and Planning (G. T. Moore, ed.), Proceedings of the design methods group, First International Conference, Cambridge, MA, 1968, pp. 170–178.
W. R. Heller, G. Sorkin, and K. Maling, The planar package planner for system designers,Proceedings of the 19th Design Automation Conference, Las Vegas, 1982, pp. 253–260.
E. Horowitz and S. Sahni,Fundamentals of Data Structures in Pascal, Computer Science Press, Rockville, MD, 1984.
K. Kozminski and E. Kinnen, An algorithm for finding a rectangular dual of a planar graph for use in area planning for VLSI integrated circuits,Proceedings of the 21st Design Automation Conference, Alburquerque, 1984, pp. 655–656.
K. Kozminski and E. Kinnen, Rectangular dual of planar graphs,Networks (submitted).
K. Maling, S. H. Mueller, and W. R. Heller, On finding most optimal rectangular package plans,Proceedings of the 19th Design Automation Conference, Las Vegas, 1982, pp. 663–670.
Author information
Authors and Affiliations
Additional information
Communicated by David S. Johnson.
This research was supported in part by the National Science Foundation under Grant MCS-83-05567.
Rights and permissions
About this article
Cite this article
Bhasker, J., Sahni, S. A linear algorithm to find a rectangular dual of a planar triangulated graph. Algorithmica 3, 247–278 (1988). https://doi.org/10.1007/BF01762117
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01762117