Showing math.COShow all
2 papers · 1 filter
math.CO2026
The Vámos Matroid Has No Second Symmetric Power
Yasuhito Nakajima
Symmetric powers of matroids were introduced by Lovász and Mason. The subject has recently attracted renewed interest through its connection with the realizability of tropical line…
math.CO2019
Minimal tropical basis for Bergman fan of matroid
Yasuhito Nakajima
The Bergman fan of a matroid is the intersection of tropical hyperplanes defined by the circuits. A tropical basis is a subset of the circuits set that defines the Bergman fan. Yu…