论文标题
三色三维三角剖分的表征
A characterisation of 3-colourable 3-dimensional triangulations
论文作者
论文摘要
我们将海伍德的定理扩展到平面三角剖分到三个空间的三角形。我们证明，当且仅当所有边缘都具有均匀度时，只有在所有边缘都具有三种颜色时，三个空间的三角剖分才能用三种颜色。
We extend Heawood's theorem on the colourability of plane triangulations to triangulations of 3-space. We prove that a triangulation of 3-space can be edge coloured with three colours if and only if all edges have even degree.
