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.
Zaare-Nahandi, R. (2012). Invariance of the barycentric subdivision of a simplicial complex. Bulletin of the Iranian Mathematical Society, 38(2), 423-432.
MLA
Rashid Zaare-Nahandi. "Invariance of the barycentric subdivision of a simplicial complex". Bulletin of the Iranian Mathematical Society, 38, 2, 2012, 423-432.
HARVARD
Zaare-Nahandi, R. (2012). 'Invariance of the barycentric subdivision of a simplicial complex', Bulletin of the Iranian Mathematical Society, 38(2), pp. 423-432.
VANCOUVER
Zaare-Nahandi, R. Invariance of the barycentric subdivision of a simplicial complex. Bulletin of the Iranian Mathematical Society, 2012; 38(2): 423-432.