3D Straight-Line Grid Drawing of 4-colorable Graphs

 

Tiziana Calamoneri and Andrea Sterbini

 

Abstract

In this paper we contribute to the understanding of the geometric properties of 3D drawings. Namely, we show how to make a 3D straight-line grid drawing of 4-colorable graphs in O(n^2) volume. Moreover, we prove that each bipartite graph needs at least Omega (n^{3/2}) volume.

 

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