Bulletin of the Iranian Mathematical Society

Bulletin of the Iranian Mathematical Society

Invariance of the barycentric subdivision of a simplicial complex

Document Type : Research Paper

Author
Institute for Advanced Studies in Basic Sciences
Abstract
‎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.
Keywords

  • Receive Date 25 October 2010
  • Revise Date 15 October 2011
  • Accept Date 15 October 2011