%0 Journal Article
%T Convex Hull of Face Vectors of Colored Complexes
%A Afshin Goodarzi
%J Mathematics
%D 2012
%I arXiv
%X In this paper we verify a conjecture by Kozlov (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 Tur\'{a}n's graph theorem.
%U http://arxiv.org/abs/1210.8390v1