PreprintCC BY 4.0arXiv
Calculus of the Facial Distance
Abstract
We develop a few calculus rules to compute or lower bound the facial distance of a polytope. We illustrate our calculus rules on various popular polytopes. In particular, we provide a provide a lower bound on the facial distance of the Birkhoff polytope.
Related
BibTeX
@misc{pena2026calculus,
title = {{Calculus of the Facial Distance}},
author = {Javier Pena and Elias Wirth},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.28971},
eprint = {2608.28971},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.28971},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Calculus of the Facial Distance
AU - Javier Pena
AU - Elias Wirth
PY - 2026
DA - 2026/08/29
PB - arXiv
DO - 10.48550/arxiv.2608.28971
UR - https://arxiv.org/abs/2608.28971
AB - We develop a few calculus rules to compute or lower bound the facial distance of a polytope. We illustrate our calculus rules on various popular polytopes. In particular, we provide a provide a lower bound on the facial distance of the Birkhoff polytope.
ER -