论文标题
关于环形的麦克斯韦 - 克里米亚通讯的注释
A Note on Toroidal Maxwell-Cremona Correspondences
论文作者
论文摘要
我们探索Maxwell-Cremona对应的环形类似物。 Erickson和Lin [Arxiv：2003.10057]显示了地球圆环图$ G $的以下信件：$ g $的正平衡应力，其双图$ g^*$的正交嵌入$ g^*$，以及$ g $的角度，$ g $是其固有的重量delaunay图形。我们将其结果扩展到不一定是正的平衡应力，这与不一定是嵌入的$ g^*$的正交图相对应。我们还给出了平衡应力和双重平行图之间的对应关系。
We explore toroidal analogues of the Maxwell-Cremona correspondence. Erickson and Lin [arXiv:2003.10057] showed the following correspondence for geodesic torus graphs $G$: a positive equilibrium stress for $G$, an orthogonal embedding of its dual graph $G^*$, and vertex weights such that $G$ is the intrinsic weighted Delaunay graph of its vertices. We extend their results to equilibrium stresses that are not necessarily positive, which correspond to orthogonal drawings of $G^*$ that are not necessarily embeddings. We also give a correspondence between equilibrium stresses and parallel drawings of the dual.
