Masashi Shinohara

activity

20092025

most citedUniqueness of maximum three-distance sets in the three-dimensional Euclidean space

15 citations · 21 across the 9 of their papers we have counts for

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8 papers · 1 filter

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.CO2022

Embedding dimensions of matrices whose entries are indefinite distances in the pseudo-Euclidean space

Hiroshi Nozaki, Masashi Shinohara, Sho Suda

A finite set of the Euclidean space is called an $s$ -distance set provided the number of Euclidean distances in the set is $s$ . Determining the largest possible $s$ -distance set fo…

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★ 2 cited

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…

math.CO2018

Characterization of finite colored spaces with certain conditions

Mitsugu Hirasaka, Masashi Shinohara

A colored space is the pair $(X, r)$ of a set $X$ and a function $r$ whose domain is $(2 X)$ . Let $(X, r)$ be a finite colored space and $Y, Z \subseteq X$ . We shall write $Y\si…

math.CO2015

Multiply union families in $N^{n}$

Peter Frankl, Masashi Shinohara, Norihide Tokushige

Let $A \subset N^{n}$ be an $r$ -wise $s$ -union family, that is, a family of sequences with $n$ components of non-negative integers such that for any $r$ sequences in $A$ th…

math.CO2014★ 2 cited

Complementary Ramsey numbers and Ramsey graphs

Akihiro Munemasa, Masashi Shinohara

In this paper, we consider a variant of Ramsey numbers which we call complementary Ramsey numbers $R ˉ (m, t, s)$ . We first establish their connections to pairs of Ramsey $(s, t)$ -…

math.CO2009★ 2 cited

On a generalization of distance sets