Cutting polytopes and flag f-vectors

R. Ehrenborg; D. Johnston; R. Rajagopalan; M. Readdy

doi:10.1007/PL00009499

Cutting polytopes and flag f-vectors

R. Ehrenborg, D. Johnston, R. Rajagopalan, M. Readdy

Mathematics

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	261-271
Number of pages	11
Journal	Discrete and Computational Geometry
Volume	23
Issue number	2
DOIs	https://doi.org/10.1007/PL00009499
State	Published - Mar 2000

ASJC Scopus subject areas

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

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10.1007/PL00009499

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title = "Cutting polytopes and flag f-vectors",

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.",

author = "R. Ehrenborg and D. Johnston and R. Rajagopalan and M. Readdy",

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AU - Ehrenborg, R.

AU - Johnston, D.

AU - Rajagopalan, R.

AU - Readdy, M.

PY - 2000/3

Y1 - 2000/3

N2 - 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.

AB - 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.

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JO - Discrete and Computational Geometry

JF - Discrete and Computational Geometry

IS - 2

ER -

Cutting polytopes and flag f-vectors

Abstract

ASJC Scopus subject areas

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