Drawing 2-, 3- and 4-colorable Graphs in O(n2) Volume

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 (n 3=2) volume to be drawn. Furthermore, it is shown how to draw 2-, 3-and 4-colorable… (More)
DOI: 10.1007/3-540-62495-3_37

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