3 papers
math.AG2026
The basic tropical polynomials generate the semifield of -symmetric tropical rational functions
Susumu Kubo
Let the symmetric group act on the space of real matrices by permuting rows, so orbits are multisets of points in . The basic -symmetric tro…
cs.DM2026
Partially Ordered Sets Corresponding to the Partition Problem
Susumu Kubo
The partition problem is a well-known NP-complete problem. We focus on its optimization version. We propose two partially ordered sets (posets) corresponding to the partition probl…
cs.DM2026
Stable complete coordinates for multisets of points via basic -symmetric tropical polynomials
Susumu Kubo
A multiset of unordered points in -- a point cloud, or, for , a persistence barcode of birth-death pairs -- is a point of the orbit space $\mathbb{R}^{nr}/S…