Invariance of the Barycentric Subdivision of a Simplicial Complex

Details Invariance of the Barycentric Subdivision of a Simplicial Complex Invariance of the Barycentric Subdivision of a Simplicial Complex

2010-09-27

arxiv.org/abs/1009.5245v1

Mathematics

Commutative Algebra

Scientific paper

In this paper we show that a simplicial complex can be determined uniquely up
to isomorphism by its barycentric subdivision or comparability graph. At the
end, it is summarized several algebraic, combinatorial and topological
invariants of simplicial complexes.

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