|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'504'585
Articles rated: 2609
24 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
The degree of point configurations: from Ehrhart theory to almost neighborly polytopes | | Benjamin Nill
; Arnau Padrol
; | | Date: |
25 Sep 2012 | | Abstract: | The degree of a point configuration is defined as the maximal codimension of
its interior faces. This concept is motivated from a corresponding
Ehrhart-theoretic notion for lattice polytopes and is related to neighborly
polytopes, the generalized lower bound theorem and Tverberg theory.
The main results of this paper are a complete classification of point
configurations of degree 1, as well as a structure result on point
configurations whose degree is less than a third of the dimension. Statements
and proofs involve the novel notion of a weak Cayley configuration. | | Source: | arXiv, 1209.5712 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER