17 citations · 40 across the 23 of their papers we have counts for
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math.CO2023
Regular graphs to induce even periodic Grover walks
Sho Kubota, Hiroto Sekido, Kiyoto Yoshino
The interest of this paper is a characterization of graphs that induce periodic Grover walks with given periods. In previous studies, Yoshie has shown that the only graphs that ind…
math.AP2023
Periodic solutions to Kobayashi--Warren--Carter systems
Shodai Kubota, Ken Shirakawa
In this paper, a system of parabolic PDEs, called the Kobayashi--Warren--Carter system, is considered as a possible phase-field model of planar grain boundary motion. The Main Theo…
math.CO2023
On symmetric spectra of Hermitian adjacency matrices for non-bipartite mixed graphs
Yusuke Higuchi, Sho Kubota, Etsuo Segawa
We study the equivalence between bipartiteness and symmetry of spectra of mixed graphs, for -Hermitian adjacency matrices defined by an angle . We show that this eq…