A cancellation-free antipode formula (for uniform matroids) for the restriction-contraction matroid Hopf algebra
Combinatorics
2017-07-07 v3
Abstract
In this paper, we give a cancellation-free antipode formula (for uniform matroids) for the restriction-contraction matroid Hopf algebra, using the technique of splitting and merging via a sign-reversing involution. The cancellation-free formula expresses the antipode of uniform matroids as a sum over certain ordered set partitions.
Keywords
Cite
@article{arxiv.1612.04343,
title = {A cancellation-free antipode formula (for uniform matroids) for the restriction-contraction matroid Hopf algebra},
author = {Eric Bucher and Jacob P. Matherne},
journal= {arXiv preprint arXiv:1612.04343},
year = {2017}
}
Comments
14 pages. Added some references in v2. Added some corrections in v3. Comments welcome!