Abstract
A Fary grid drawing of a graph is a drawing on a three-dimensional grid such that vertices are placed at integer coordinates and edges are straight-lines such that no edge crossings are allowed.
In this paper it is proved that each k-colorable graph (k ≥ 2) needs at least Ω(n 3/2)x volume to be drawn. Furthermore, it is shown how to draw 2-, 3- and 4-colorable graphs in a Fary grid fashion in O(n 2) volume.
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© 1997 Springer-Verlag Berlin Heidelberg
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Calamoneri, T., Sterbini, A. (1997). Drawing 2-, 3- and 4-colorable graphs in O(n2) volume. In: North, S. (eds) Graph Drawing. GD 1996. Lecture Notes in Computer Science, vol 1190. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-62495-3_37
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DOI: https://doi.org/10.1007/3-540-62495-3_37
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