1-D Compaction
نویسندگان
چکیده
In this paper we consider the one-dimensional compaction prob· lem when the layout area contains forbidden regions and the layout components are allowed to move across these regions. Given n layout components and k forbidden regions, each of rectangular shape, we show how to solve this compaction problem in O(A) time with O(Cn + k) log k + 0 logo) preprocessing, where 6. and 6 are measures for the interaction between layout components and forbidden regions, A < n:2k, 0 :$ nk. We also consider special cases of the forbidden regions. For example, when every forbidden region is of length h, where h is the hei~ht of the layout, the compaction problem can be solved in O(p log r"/:'1 +p) time, with O(p+n log n + k) preprocessing, where p is the number of edges in transitive closure of visibility graph induced by the layout components, p < n2 . "Research supported in part by ONR under contracts NOOOl4-84-K-0502 and N0001486-K-0689, and by NSF under Grant MIP-87-15652. 1Research supported in part by NSF under Grant MIP·87·15652 and ONR under con· tract NOOOl4-84-K·0502.
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