Document Type

Article

Publication Date

1996

DOI

10.1155/1996/40175

Publication Title

VLSI Design

Volume

4

Issue

1

Pages

33-40

Abstract

The compaction step of integrated circuit design motivates associating several kinds of graphs with a collection of non-overlapping rectangles in the plane. These graphs are intended to capture various visibility relations amongst the rectangles in the collection. The contribution of this paper is to propose time- and cost-optimal algorithms to construct two such graphs, namely, the dominance graph (DG, for short) and the visibility graph (VG, for short). Specifically, we show that with a collection of n non-overlapping rectangles as input, both these structures can be constructed in θ (log n) time using n processors in the CREW model.

Original Publication Citation

Bhagavathi, D., Gurla, H., Olariu, S., Schwing, J.L., & Zhang, J. (1996). Time- and cost-optimal parallel algorithms for the dominance and visibility graphs. Vlsi Design, 4(1), 33-40. doi: 10.1155/1996/40175

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