Cutting polytopes and flag f-vectors

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

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.

Original languageEnglish
Pages (from-to)261-271
Number of pages11
JournalDiscrete and Computational Geometry
Volume23
Issue number2
DOIs
StatePublished - Mar 2000

Funding

FundersFunder number
U.S. Department of Energy Chinese Academy of Sciences Guangzhou Municipal Science and Technology Project Oak Ridge National Laboratory Extreme Science and Engineering Discovery Environment National Science Foundation National Energy Research Scientific Computing Center National Natural Science Foundation of China9619681

    ASJC Scopus subject areas

    • Theoretical Computer Science
    • Geometry and Topology
    • Discrete Mathematics and Combinatorics
    • Computational Theory and Mathematics

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