Chainlink Polytopes and Ehrhart-Equivalence
Clicks: 71
ID: 283446
2022
Article Quality & Performance Metrics
Overall Quality
Not rated
Combines reader engagement with the AI quality analysis. This
article has not been analysed, so there is no overall score —
reader engagement is measured and shown alongside.
Reader Engagement
Steady Performance
21.0
/100
71 views
27 readers
AI Quality Assessment
Not analyzed
Readership in this journal
SteadyRanked #366 of 803 articles by views in arXiv
Most read
Least read
Bar heights use a square-root scale. Only the 120 most-read articles are drawn; the journal has 803 in total.
Mint this article as an NFT
Not yet mintedCreate a permanent, verifiable on-chain record of this article on the Scimatic Network. The NFT is held in your Journament account, and you can withdraw it to your own wallet at any time.
5
SUSD
one-off · no wallet required
Abstract
We introduce a class of polytopes that we call chainlink polytopes and which
allow us to construct infinite families of pairs of non isomorphic rational
polytopes with the same Ehrhart quasi-polynomial. Our construction is based on
circular fence posets, which admit a non-obvious and non-trivial symmetry in
their rank sequences that turns out to be reflected in the polytope level. We
introduce the related class of chainlink posets and show that they exhibit the
same symmetry properties. We further prove an outstanding conjecture on the
unimodality of circular rank polynomials.
| Reference Key |
ravichandran2022chainlink
Use this key to autocite in the manuscript while using
SciMatic Manuscript Manager or Thesis Manager
|
|---|---|
| Authors | Ezgi Kantarcı Oğuz; Cem Yalım Özel; Mohan Ravichandran |
| Journal | arXiv |
| Year | 2022 |
| DOI |
DOI not found
|
| URL | |
| Keywords |
Citations
No citations found. To add a citation, contact the admin at info@scimatic.org
Comments
No comments yet. Be the first to comment on this article.