A Layout Adjustment Problem for Disjoint Rectangles Preserving Orthogonal Order
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For a given set of n rectangles place on a plane, we consider a problem of finding the minimum area layout of the rectangles that avoids intersections of the rectangles and preserves the orthogonal order. Misue et al. proposed an O(n 2)-time heuristic algorithm for the problem. We first show that the corresponding decision problem for this problem is NP-complete. We also present an O(n 2)-time heuristic algorithm for the problem that finds a layout with smaller area than Misue’s.
- G. Di Battista, P. Eades, R. Tamassia, and I. G. Tollis, “Algorithms for drawing graphs: an annotated bibliography,” Computational Geometry Theory and Applications, vol. 4, pp. 235–282, 1994.
- R. Tamassia, G. Di Battista, and C. Batini, “Automatic graph drawing and readability of diagrams,” IEEE Trans. on System, Man and Cybernetics, vol. 18, no. 1, pp. 61–79, 1988. CrossRef
- P. Eades, W. Lai, K. Misue, and K. Sugiyama, “Preserving the mental map of a diagram,” Proc. of COMPUGRAPHICS’ 91, pp. 34–43, 1991.
- K. Misue, P. Eades, W. Lai, and K. Sugiyama, “Layout adjustment and the mental map,” Journal of Visual Languages and Computing, vol. 6, pp. 183–210, 1995. CrossRef
- M-A. D. Storey and H. A. Müller, “Graph layout adjustment strategies,” Proc. Graph Drawing’ 95, LNCS 1027, pp. 487–499. Springer-Verlag, 1995. CrossRef
- M. R. Garey and D. S. Johnson, “Computers and Intractability-A Guide to the Theory of NP-Completeness,” W. H. Freeman and Company, New York, 1979.
- A Layout Adjustment Problem for Disjoint Rectangles Preserving Orthogonal Order
- Book Title
- Graph Drawing
- Book Subtitle
- 6th International Symposium, GD’ 98 Montréal, Canada, August 13–15, 1998 Proceedings
- pp 183-197
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- Lecture Notes in Computer Science
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- Springer Berlin Heidelberg
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- Springer-Verlag Berlin Heidelberg
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- Editor Affiliations
- 4. School of Computer Science, McGill University
- Author Affiliations
- 5. Graduate School of Information Science, Nara Institute of Science and Technology, Nara, 630-0101, Japan
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