Cutting Polytopes and Flag f-Vectors

We show how the flag f -vector of a polytope changes when cutting off any face, generalizing work of Lee for simple polytopes. The result is in terms of explicit linear operators on cd-polynomials. Also, we obtain the change in the flag f -vector when contracting any face of the polytope.

• Type: Journal
• Year: 2000
• Where: DCG
• Authors: Richard Ehrenborg, D. Johnston, R. Rajagopalan, Margaret Readdy
• Keywords: DCG 2000, Explicit Linear Operators, Polytope, Simple Polytopes