Tadashi Ishibe

most citedOn relations for zeros of

f

-polynomials and

f^{+}

-polynomials

2 citations · 2 across the 1 of their papers we have counts for

collaborators

3 papers

math.CO2016★ 2 cited

On relations for zeros of $f$ -polynomials and $f^{+}$ -polynomials

Tadashi Ishibe

Let $Φ$ be an irreducible (possibly noncrystallographic) root system of rank $l$ of type $P$ . For the corresponding cluster complex $Δ (P)$ , which is known as pure $(l - 1)$ -dimension…

math.CO2016

Zero loci of skew-growth functions for dual Artin monoids

Tadashi Ishibe, Kyoji Saito

We show that the skew-growth function of a dual Artin monoid of finite type P has exactly rank(P) =: l simple real zeros on the interval (0, 1]. The proofs for types A_l and B_l ar…

math.CO2016

On the derivative at $t = 1$ of the skew-growth functions for Artin monoids

Tadashi Ishibe

Let $G_{M}^{+}$ be the Artin monoid of finite type generated by the letters $a_{i}, i \in I$ with respect to a Coxeter matrix $M$ that is equipped with the degree map $°\!:\!G_{M}^{+}…

On relations for zeros of f-polynomials and f+-polynomials

Zero loci of skew-growth functions for dual Artin monoids

On the derivative at t=1 of the skew-growth functions for Artin monoids

On relations for zeros of $f$ -polynomials and $f^{+}$ -polynomials

On the derivative at $t = 1$ of the skew-growth functions for Artin monoids