SIAM Journal on Discrete Mathematics, Volume 34, Issue 2, Page 1205-1231, January 2020.
We prove that a graph has an infinitesimally rigid placement in a non-Euclidean normed plane if and only if it contains a (2,2)-tight spanning subgraph. The method uses an inductive construction based on generalized Henneberg moves and the geometric properties of the normed plane. As a key step, rigid placements are constructed for the complete graph $K_4$ by considering smoothness and strict convexity properties of the unit ball.

中文翻译：

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范平面中的无穷刚性

SIAM离散数学杂志，第34卷，第2期，第1205-1231页，2020年1月。
我们证明，当且仅当一个图包含（2,2）-时，该图在非欧氏范数平面内具有无限拟刚性的位置紧跨子图。该方法使用基于广义Henneberg运动和规范平面的几何特性的归纳构造。作为关键步骤，通过考虑单位球的光滑度和严格的凸度特性，为完整图形$ K_4 $构造刚性放置。