Convex hull of face vectors of colored complexes

  • Authors:

  • Afshin Goodarzi

  • Affiliations:

  • -

  • Venue:
  • European Journal of Combinatorics
  • Year:
  • 2014

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Abstract

In this paper we verify a conjecture by Kozlov [D.N. Kozlov, Convex Hulls of f- and @b-vectors, Discrete Comput. Geom. 18 (1997) 421-431], which describes the convex hull of the set of face vectors of r-colorable complexes on n vertices. As part of the proof we derive a generalization of Turan's graph theorem.