Combining Globally Rigid Frameworks

Abstract

Here it is shown how to combine two generically globally rigid bar frameworks in $d$-space to get another generically globally rigid framework. The construction is to identify $d+1$ vertices from each of the frameworks and erase one of the edges that they have in common.

14 pages

References in corpus (6)

• Characterizing the universal rigidity of generic frameworks
• On affine motions and bar frameworks in general position
• Universally Rigid Framework Attachments
• Connecting Global and Universal Rigidity
• Rigidity of Graph Joins and Hendrickson's Conjecture
• New Classes of Counterexamples to Hendrickson's Global Rigidity Conjecture

Cited by in corpus (1)

• Sufficient Conditions for the Global Rigidity of Graphs