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math.CO2018★ 17 cited
Combinatorics of certain abelian Lie group arrangements and chromatic quasi-polynomials
Tan Nhat Tran, Masahiko Yoshinaga
The purpose of this paper is twofold. Firstly, we generalize the notion of characteristic polynomials of hyperplane and toric arrangements to those of certain abelian Lie group arr…
math.CO2018★ 6 cited
Characteristic quasi-polynomials of ideals and signed graphs of classical root systems
Tan Nhat Tran
With a main tool is signed graphs, we give a full description of the characteristic quasi-polynomials of ideals of classical root systems () with respect to the integer and r…
math.CO2018★ 3 cited
An equivalent formulation of chromatic quasi-polynomials
Tan Nhat Tran
Given a central integral arrangement, the reduction of the arrangement modulo positive integers gives rise to a subgroup arrangement in . Kamiya-…