A more compact visibility representation

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Abstract

In this paper we present a linear time and space algorithm for constructing a visibility representation of a planar graph on an [formula presented] × (n−1) grid, thereby improving the previous bound of (2n−5)×(n−1). To this end we build in linear time the 4-block tree of a triangulated planar graph.

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Kant, G. (1994). A more compact visibility representation. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 790 LNCS, pp. 411–424). Springer Verlag. https://doi.org/10.1007/3-540-57899-4_70

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