Masashi Shinohara

activity

20182025

collaborators

4 papers

math.CO2025

Pseudo-Euclidean representations of switching classes of Johnson and Hamming graphs with minimal dimension

Hiroshi Nozaki, Masashi Shinohara, Sho Suda

This paper considers minimum-dimensional representations of graphs in pseudo-Euclidean spaces, where adjacency and non-adjacency relations are reflected in fixed scalar square valu…

math.MG2020

A proof of a Dodecahedron conjecture for distance sets

Hiroshi Nozaki, Masashi Shinohara

A finite subset of a Euclidean space is called an $s$ -distance set if there exist exactly $s$ values of the Euclidean distances between two distinct points in the set. In this pape…

math.CO2019

Maximal $2$ -distance sets containing the regular simplex

Hiroshi Nozaki, Masashi Shinohara

A finite subset $X$ of the Euclidean space is called an $m$ -distance set if the number of distances between two distinct points in $X$ is equal to $m$ . An $m$ -distance set $X$ is s…

math.CO2018

Characterization of finite metric space by their isometric sequences

Mitsugu Hirasaka, Masashi Shinohara

Let $(X, d)$ be a finite metric space with $∣ X ∣ = n$ . For a positive integer $k$ we define $A_{k} (X)$ to be the quotient set of all $k$ -subsets of $X$ by isometry, and we denote $|A_k(X…

Pseudo-Euclidean representations of switching classes of Johnson and Hamming graphs with minimal dimension

A proof of a Dodecahedron conjecture for distance sets

Maximal 2-distance sets containing the regular simplex

Characterization of finite metric space by their isometric sequences

Maximal $2$ -distance sets containing the regular simplex