Y. Gyoda

activity

20182022

d +^{7}

Be cross sections for Big-Bang nucleosynthesis

24 citations · 33 across the 10 of their papers we have counts for

collaborators

10 papers

math.RT2022

Lattice structure in cluster algebra of finite type and non-simply-laced Ingalls-Thomas bijection

Yasuaki Gyoda

In this paper, we demonstrate that the lattice structure of a set of clusters in a cluster algebra of finite type is anti-isomorphic to the torsion lattice of a certain Geiss-Lecle…

math.NT2022

Generalization of Markov Diophantine equation via generalized cluster algebra

Yasuaki Gyoda, Kodai Matsushita

In this paper, we deal with two classes of Diophantine equations, $x^{2} + y^{2} + z^{2} + k_{1} y z + k_{2} z x + k_{3} x y = (3 + k_{1} + k_{2} + k_{3}) x y z$ and $x^{2} + y^{4} + z^{4} + k y^{2} z^{2} + 2 x z^{2} + 2 x y^{2} = (7 + k) x y^{2} z^{2}$ , where $k_1,…

math.NT2021

Positive integer solutions to $(x + y)^{2} + (y + z)^{2} + (z + x)^{2} = 12 x y z$

Yasuaki Gyoda

In this paper, we give a specific way of describing positive integer solutions of a Diophantine equation $(x + y)^{2} + (y + z)^{2} + (z + x)^{2} = 12 x y z$ and introduce a generalized cluster pattern…

math.RT2021★ 1 cited

Bongartz completion via $c$ -vectors

Peigen Cao, Yasuaki Gyoda, Toshiya Yurikusa

In the present paper, we first give a characterization for Bongartz completion in $τ$ -tilting theory via $c$ -vectors. Motivated by this characterization, we give the definition of…

math.RT2021

Positive cluster complexes and $τ$ -tilting simplicial complexes of cluster-tilted algebras of finite type

Yasuaki Gyoda

In this study, we consider the positive cluster complex, a full subcomplex of a cluster complex the vertices of which are all non-initial cluster variables. In particular, we provi…

math.NT2020

Cluster duality between Calkin-Wilf tree and Stern-Brocot tree

Yasuaki Gyoda

We find a duality between two well-known trees, the Calkin-Wilf tree and the Stern-Brocot tree, derived from cluster algebra theory. The vertex sets of these trees are the set of r…

math.RA2019

Compatibility degree of cluster complexes

Changjian Fu, Yasuaki Gyoda

We introduce a new function on the set of pairs of cluster variables via $f$ -vectors, which we call it the compatibility degree (of cluster complexes). The compatibility degree is…

math.RA2019★ 3 cited

Relation between $f$ -vectors and $d$ -vectors in cluster algebras of finite type or rank 2

Yasuaki Gyoda

We study $f$ -vectors, which are the maximal degree vectors of $F$ -polynomials in cluster algebra theory. For a cluster algebra is of finite type, we find that positive $f$ -vectors…

math.CO2019★ 5 cited

$F$ -matrices of cluster algebras from triangulated surfaces

Yasuaki Gyoda, Toshiya Yurikusa

For a given marked surface $(S, M)$ and a fixed tagged triangulation $T$ of $(S, M)$ , we show that each tagged triangulation $T^{'}$ of $(S, M)$ is uniquely determined by the intersectio…

nucl-ex2018★ 24 cited

Measurement of $d +^{7}$ Be cross sections for Big-Bang nucleosynthesis

N. Rijal, I. Wiedenhöver, J. C. Blackmon +7

The cross sections of nuclear reactions between the radioisotope $^{7}$ Be and deuterium, a possible mechanism of reducing the production of mass-7 nuclides in Big-Bang nucleosynthesi…

Lattice structure in cluster algebra of finite type and non-simply-laced Ingalls-Thomas bijection

Generalization of Markov Diophantine equation via generalized cluster algebra

Positive integer solutions to (x+y)2+(y+z)2+(z+x)2=12xyz

Bongartz completion via c-vectors

Positive cluster complexes and τ-tilting simplicial complexes of cluster-tilted algebras of finite type

Cluster duality between Calkin-Wilf tree and Stern-Brocot tree

Compatibility degree of cluster complexes

Relation between f-vectors and d-vectors in cluster algebras of finite type or rank 2

F-matrices of cluster algebras from triangulated surfaces

Measurement of d+7Be cross sections for Big-Bang nucleosynthesis

Positive integer solutions to $(x + y)^{2} + (y + z)^{2} + (z + x)^{2} = 12 x y z$

Bongartz completion via $c$ -vectors

Positive cluster complexes and $τ$ -tilting simplicial complexes of cluster-tilted algebras of finite type

Relation between $f$ -vectors and $d$ -vectors in cluster algebras of finite type or rank 2

$F$ -matrices of cluster algebras from triangulated surfaces

Measurement of $d +^{7}$ Be cross sections for Big-Bang nucleosynthesis