Three Rings of Polyhedral Simple Functions

نویسنده

  • Jim Lawrence
چکیده

We survey three ways to multiply elements of the additive subgroup of the group of real-valued functions on R(d) 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.

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عنوان ژورنال:

دوره 111  شماره 

صفحات  -

تاریخ انتشار 2006