A Layout Adjustment Problem for Disjoint Rectangles Preserving Orthogonal Order

Hayashi, Kunihiko and Inoue, Michiko and Masuzawa, Toshimitsu and Fujiwara, Hideo (1998) A Layout Adjustment Problem for Disjoint Rectangles Preserving Orthogonal Order. In: Graph Drawing 6th International Symposium, GD’ 98, August 13-15, 1998, Montréal, Canada , pp. 183-197 (Official URL: http://dx.doi.org/10.1007/3-540-37623-2_14).

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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(n²)-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(n²)-time heuristic algorithm for the problem that finds a layout with smaller area than Misue's.

Item Type:Conference Paper
Additional Information:10.1007/3-540-37623-2_14
Classifications:G Algorithms and Complexity > G.999 Others
G Algorithms and Complexity > G.070 Area / Edge Length
ID Code:245

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