How to construct a flag complex with a given face vector

2011/12/28 by Frohmader, Andrew
#05C69 #05E45 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.1112.6061

Abstract

A method that often works for constructing a flag complex with a specified face vector is given. This method can also be adapted to construct a vertex-decomposable (and hence Cohen-Macaulay) flag complex with a specified h-vector.

Related

• Face vectors of flag complexes
• Flag f-vectors of three-colored complexes
• On the h-vectors of Cohen-Macaulay Flag Complexes
• Flag complex face structures and decompositions
• Balanced vertex decomposable simplicial complexes and their h-vectors