Chromatic subdivision of a simplicial complex

Dmitry N. Kozlov

doi:hha/1355321488

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Home > Journals > Homology Homotopy Appl. > Volume 14 > Issue 2 > Article

2012 Chromatic subdivision of a simplicial complex

Dmitry N. Kozlov

Homology Homotopy Appl. 14(2): 197-209 (2012).

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Abstract

We prove that the protocol complex of the immediate snapshot read/write complex for $n + 1$ processors is a simplicial subdivision of the input complex. Our proof is purely geometric, using the Schlegel diagram construction.