Higher-order rigidity – what is the proper definition? (English) Zbl 0793.52005

The notion of higher-order rigidity of bar-and-joint frameworks is discussed. In contrast to second-order rigidity third-order rigidity is shown not to imply rigidity. This is done by giving an explicit example. Having this in mind the authors discuss proposals how to overcome this difficulty by changing the definition of higher-order rigidity.


52C25 Rigidity and flexibility of structures (aspects of discrete geometry)
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