Frameworks with forced symmetry II: orientation-preserving crystallographic groups
Frameworks with forced symmetry II: orientation-preserving crystallographic groups
复制标题
强制对称框架 II：保持取向的晶体群
DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
Louis Theran
中科院分区：
文献类型：
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作者：
Justin Malestein;Louis Theran
在强迫对称的约束下，我们给出了具有取向保持晶体学对称性的最小刚性平面框架的组合表征。证明了主要定理的方法，第一篇论文在这一序列中从一个单一的旋转产生的群体产生的平移和旋转。证明利用新的家庭的拟阵和次模函数定义的结晶群。
We give a combinatorial characterization of minimally rigid planar frameworks with orientation-preserving crystallographic symmetry, under the constraint of forced symmetry. The main theorems are proved by extending the methods of the first paper in this sequence from groups generated by a single rotation to groups generated by translations and rotations. The proof makes use of new families of matroids and submodular functions defined on crystallographic groups.