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On barycentric subdivision
barycentric subdivision triangle-valued Markov chain isoperimetric functional, fl at triangles iterated random functions invariant probability measure Wasserstein distance
2015/7/7
Consider the barycentric subdivision which cuts a given triangle along its medians to produce six new triangles. Uniformly choosing one of them and iterating this procedure gives rise to a Markov chai...
Invariance of the Barycentric Subdivision of a Simplicial Complex
Invariance Barycentric Subdivision Simplicial Complex
2010/12/13
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, comb...