2 citations · 5 across the 11 of their papers we have counts for
15 papers
Mutually orthogonal Sudoku Latin squares and their graphs
Sho Kubota, Sho Suda, Akane Urano
We introduce a graph attached to mutually orthogonal Sudoku Latin squares. The spectra of the graphs obtained from finite fields are explicitly determined. As a corollary, we then…
One-dimensional optimal control problems for time-discrete constrained quasilinear diffusion equations of Allen--Cahn types
Shodai Kubota
In this paper, we consider a class of optimal control problems for a one-dimensional time-discrete constrained quasilinear diffusion state-systems of singular Allen--Cahn types and…
Perfect state transfer in Grover walks between states associated to vertices of a graph
Sho Kubota, Etsuo Segawa
We study perfect state transfer in Grover walks, which are typical discrete-time quantum walk models. In particular, we focus on states associated to vertices of a graph. We call s…
Temperature Control of PDE Constrained Optimization Problems Governed by Kobayashi--Warren--Carter Type Models of Grain Boundary Motions
Harbir Antil, Shodai Kubota, Ken Shirakawa +1
In this paper, we consider a class of optimal control problems governed by state-equations of Kobayashi--Warren--Carter type. The control is given by physical temperature. The focu…
The trace formula with respect to the twisted Grover matrix of a mixed digraph
Takashi Komatsu, Sho Kubota, Norio Konno +1
We define a zeta function woth respect to the twisted Grover matrix of a mixed digraph, and present an exponential expression and a determinant expression of this zeta function. As…
Subdifferential decomposition of 1D-regularized total variation with nonhomogeneous coefficients
Shodai Kubota
In this paper, we consider a convex function defined as a 1D-regularized total variation with nonhomogeneous coefficients, and prove the Main Theorem concerned with the decompositi…