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math.CO2018
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…
math.DG2018
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…