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math.CO2026
Conway Symbols of Frieze Patterns of Dynkin Types
Kengo Miyamoto, Ryuhei Suzuki
In this paper, we classify the Conway symbols of the Euclidean symmetry groups of frieze patterns of Dynkin types , , , , and . First, we show that t…
math.CO2026
Defect Spaces and Gram Operators for Tensor-Valued Incidence Maps
Kengo Miyamoto
We study vector-valued incidence maps obtained from ordinary graph incidence maps by linear observation of the free vertex space. Let be a field, a…
math.CO2024
Arithmetic on -deformed rational numbers
Takeyoshi Kogiso, Kengo Miyamoto, Xin Ren +2
Recently, Morier-Genoud and Ovsienko introduced a -deformation of rational numbers. More precisely, for an irreducible fraction , they constructed coprime polynomia…