Transverse rigidity is prestress stability

Steven J. Gortler, Miranda Holmes-Cerfon, Louis Theran

Research output: Contribution to journalArticlepeer-review


Recently, V. Alexandrov proposed an intriguing sufficient condition for rigidity, which we will call “transverse rigidity”. We show that transverse rigidity is actually equivalent to the known sufficient condition for rigidity called “prestress stability”. Indeed this leads to a novel interpretation of the prestress condition.

Original languageEnglish (US)
Pages (from-to)439-441
Number of pages3
JournalDiscrete Applied Mathematics
StatePublished - Dec 15 2022


  • Prestress stability
  • Rigidity Theory
  • Second-order rigidity

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics


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