1 citations · 1 across the 7 of their papers we have counts for
7 papers
A Short Lecture on Topological Crystallography and a Discrete Surface Theory
Hisashi Naito
This is an unrefereed lecture note based on lectures in 'Introductory Workshop on Discrete Differential Geometry' at Korea University on January 21--24, 2019. In this note, we disc…
Eigenvalues of the Laplacian on the Goldberg-Coxeter constructions for - and -valent graphs
Toshiaki Omori, Hisashi Naito, Tatsuya Tate
We are concerned with spectral problems of the Goldberg-Coxeter construction for - and -valent finite graphs. The Goldberg-Coxeter constructions of a f…
Construction of continuum from a discrete surface by its iterated subdivisions
Motoko Kotani, Hisashi Naito, Chen Tao
Given a trivalent graph in the 3-dimensional Euclidean space, we call it a discrete surface because it has a tangent space at each vertex determined by its neighbor vertices. To ab…
A Discrete Surface Theory
Motoko Kotani, Hisashi Naito, Toshiaki Omori
In the present paper, we propose a new discrete surface theory on 3-valent embedded graphs in the 3-dimensional Euclidean space which are not necessarily discretization or approxim…
Construction of Negatively Curved Cubic Carbon Crystals via Standard Realizations
Hisashi Naito
We constructed physically stable sp2 negatively curved cubic carbon structures which reticulate a Schwarz P-like surface. The method for constructing such crystal structures is bas…
Numerical studies of the optimization of the first eigenvalue of the heat diffusion in inhomogeneous media
Kaname Matsue, Hisashi Naito
In this paper, we study optimization of the first eigenvalue of the heat equation with spatially nonuniform conductivity on a bounded domain under several constraints for the condu…
Conformal change of Riemannian metrics and biharmonic maps
Hisashi Naito, Hajime Urakawa
For the reduction ordinary differential equation due to Baird and Kamissoko \cite{BK} for biharmonic maps from a Riemannian manifold into another one , we show t…