Skip to content

Opening book details…

Can I read A Centrally Symmetric Version of the Cyclic Polytope on EtoBox?

A Centrally Symmetric Version of the Cyclic Polytope by Alexander Barvinok; Isabella Novik is a nonfiction available to read on EtoBox.

What is A Centrally Symmetric Version of the Cyclic Polytope about?

We define a centrally symmetric analogue of the cyclic polytope and study its facial structure. We conjecture that our polytopes provide asymptotically the largest number of faces in all dimensions among all centrally symmetric polytopes with vertices of a given even dimension when is fixed and n grows. For a fixed even dimension and an integer we prove that the maximum possible number of -dimensional faces of a centrally symmetric -dimensional polytopewith vertices is at least for some and at most as grows.We show that and conjecture that the bound is best possible.

Who reads A Centrally Symmetric Version of the Cyclic Polytope?

It is typically read by self-directed learners exploring a subject in depth.

Common subject areas: history, science, philosophy, social sciences.

Author
Alexander Barvinok; Isabella Novik
Publisher
Springer; Springer-Verlag; Springer Verlag; Springer Science and Business Media LLC (ISSN 0179-5376)
Published
2007
Language
EN
Category
nonfiction

More by Alexander Barvinok; Isabella Novik

Browse all works by Alexander Barvinok; Isabella Novik