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