Lawrence, J.
(2006),
Three Rings of Polyhedral Simple Functions, Journal of Research (NIST JRES), National Institute of Standards and Technology, Gaithersburg, MD
(Accessed April 3, 2025)
Official websites use .gov
A .gov website belongs to an official government organization in the United States.
Secure .gov websites use HTTPS
A lock (
) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.
Three Rings of Polyhedral Simple Functions
Published
Author(s)
Abstract
We survey three ways to multiply elements of the additive subgroup of the group of real--valued functions on Rd which is generated by the indicator functions of polyhedra. In the resulting commutative rings, identities often correspond to useful techniques of decomposition of polyhedra. We are led immediately to various interesting topics, including Ehrhart polynomials, mixed volumes, Gram's relation, and transversal characteristics.Citation
Journal of Research (NIST JRES) -
Volume
111
Issue
2
NIST Pub Series
Pub Type
NIST Pubs
Keywords
convex polyhedra, Ehrhart polynomials, Gram's relation, mixed volumes, transversal characteristic, valuation
Citation
Issues
If you have any questions about this publication or are having problems accessing it, please contact reflib@nist.gov.
Created March 1, 2006, Updated February 17, 2017