Volume rigidity and algebraic shifting

Denys Bulavka, Eran Nevo, Yuval Peled

Research output: Contribution to journalArticlepeer-review

Abstract

We study the generic volume rigidity of (d − 1)-dimensional simplicial complexes in ℝd−1, and show that the volume rigidity of a complex can be identified in terms of its exterior shifting. In addition, we establish the volume rigidity of triangulations of several 2-dimensional surfaces and prove that, in all dimensions > 1, volume rigidity is not characterized by a corresponding hypergraph sparsity property.

Original languageAmerican English
Article number#14
JournalSeminaire Lotharingien de Combinatoire
Issue number89
StatePublished - 2023

Bibliographical note

Publisher Copyright:
© 2023, Universitat Wien. All rights reserved.

Keywords

  • algebraic shifting
  • exterior algebra
  • rigidity

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