Bounds on the f-vectors of tight spans

Authors

  • Michael Joswig
  • Sven Herrmann

DOI:

https://doi.org/10.11575/cdm.v2i2.62766

Abstract

The tight span $T_d$ of a metric $d$ on a finite set is the subcomplex of bounded faces of an unbounded polyhedron defined by $d$. If $d$ is generic then $T_d$ is known to be dual to a regular triangulation of a second hypersimplex. A tight upper and a partial lower bound for the face numbers of $T_d$ (or the dual regular triangulation) are presented.

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Published

2007-11-02

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Section

Articles