Hajime Tanaka

activity

20132025

τ

-conjugate representations for finite groups. APPENDIX: On Some Gelfand Pairs and Commutative Association Schemes

1 citations · 1 across the 4 of their papers we have counts for

collaborators

4 papers

math.CO2025

Burning numbers via eigenpolytopes -- Hamming graphs, Johnson graphs, and halved cubes

Hajime Tanaka, Norihide Tokushige

We give lower and upper bounds on the burning number of Hamming graphs, Johnson graphs, and halved cube graphs. For the lower bounds, we use the fact that $1$ -skeletons of the eige…

math.CO2025

A semidefinite programming approach to cross $2$ -intersecting families

Hajime Tanaka, Norihide Tokushige

Let $k \geq 2$ and $n \geq 3 (k - 1)$ . Let $F$ and $G$ be families of $k$ -element subsets of an $n$ -element set. Suppose that $∣ F \cap G ∣ \geq 2$ for all $F\in\mathcal…

math.CO2024

Extremal problems for intersecting families of subspaces with a measure

Hajime Tanaka, Norihide Tokushige

We introduce a measure for subspaces of a vector space over a $q$ -element field, and propose some extremal problems for intersecting families. These are $q$ -analogue of Erdős-Ko-Ra…

math.RT2013★ 1 cited

Mackey's theory of $τ$ -conjugate representations for finite groups. APPENDIX: On Some Gelfand Pairs and Commutative Association Schemes

Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli +2

The aim of the present paper is to expose two contributions of Mackey, together with a more recent result of Kawanaka and Matsuyama, generalized by Bump and Ginzburg, on the repres…

Burning numbers via eigenpolytopes -- Hamming graphs, Johnson graphs, and halved cubes

A semidefinite programming approach to cross 2-intersecting families

Extremal problems for intersecting families of subspaces with a measure

Mackey's theory of τ-conjugate representations for finite groups. APPENDIX: On Some Gelfand Pairs and Commutative Association Schemes

A semidefinite programming approach to cross $2$ -intersecting families

Mackey's theory of $τ$ -conjugate representations for finite groups. APPENDIX: On Some Gelfand Pairs and Commutative Association Schemes