Invariance of the barycentric subdivision of a simplicial complex

Document Type : Research Paper


Institute for Advanced Studies in Basic Sciences


‎In this paper we prove that a simplicial complex is determined‎
‎uniquely up to isomorphism by its barycentric subdivision as well as‎
‎its comparability graph‎. ‎We also put together several algebraic‎,
‎combinatorial and topological invariants of simplicial complexes‎.


  • Receive Date: 25 October 2010
  • Revise Date: 15 October 2011
  • Accept Date: 15 October 2011
  • First Publish Date: 15 July 2012