Title of article :
INVARIANCE OF THE BARYCENTRIC SUBDIVISION OF A SIMPLICIAL COMPLEX
Author/Authors :
ZAARE-NAHANDI, R. institute for advanced studies in basic sciences (iasbs) - Department of Mathematics, زنجان, ايران
Abstract :
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 :
Simplicial complex , comparability graph , barycentric subdivision.
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society