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math.CO2026
An axiomatic framework from splitting and merging in MAT-labeled graphs, vines, and single-peaked domains
Hung Manh Tran, Tan Nhat Tran, Shuhei Tsujie
In recent work (Forum Math. Sigma, 2024), we established a correspondence between MAT-labeled graphs arising from hyperplane arrangements and regular vines from probability theory.…
math.CO2025
Signatures of Type Root Systems
Michael Cuntz, Hung Manh Tran, Tan Nhat Tran +1
Given a type root system of rank , we introduce the concept of a signature for each subset of consisting of positive roots. For a subset represented by…
math.CO2023★ 1 cited
Vines and MAT-labeled graphs
Hung Manh Tran, Tan Nhat Tran, Shuhei Tsujie
The present paper explores a connection between two concepts arising from different fields of mathematics. The first concept, called vine, is a graphical model for dependent random…