The Γ-vector of a Barycentric Subdivision

نویسندگان

  • ERAN NEVO
  • B. E. TENNER
چکیده

We prove that the γ-vector of the barycentric subdivision of a simplicial sphere is the f -vector of a balanced simplicial complex. The combinatorial basis for this work is the study of certain refinements of Eulerian numbers used by Brenti and Welker to describe the h-vector of the barycentric subdivision of a boolean complex.

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تاریخ انتشار 2010