Cutting polytopes and flag f-vectors

Citation
R. Ehrenborg et al., Cutting polytopes and flag f-vectors, DISC COM G, 23(2), 2000, pp. 261-271
Citations number
14
Categorie Soggetti
Engineering Mathematics
Journal title
DISCRETE & COMPUTATIONAL GEOMETRY
ISSN journal
01795376 → ACNP
Volume
23
Issue
2
Year of publication
2000
Pages
261 - 271
Database
ISI
SICI code
0179-5376(200003)23:2<261:CPAFF>2.0.ZU;2-L
Abstract
We show how the flag f-vector of a polytope changes when cutting off any fa ce, generalizing work of Lee for simple polytopes. The result is in terms o f explicit linear operators an cd-polynomials. Also, we obtain the change i n the flag f-vector when contracting any face of the polytope.