4 citations · 5 across the 2 of their papers we have counts for
4 papers
Avoiding a shape, and the slice rank method for a system of equations
Masato Mimura, Norihide Tokushige
Fix a vector space over a finite field and a system of linear equations. We provide estimates, in terms of the dimension of the vector space, of the maximum of the sizes of subsets…
Avoiding a star of three-term arthmetic progressions
Masato Mimura, Norihide Tokushige
We provide an upper bound of the size of a subset A of F_p^n that does not admit a k-star of 3-APs (three-term arithmetic progressions). Namely, the subset A is assumed to contain…
When are stars the largest cross intersecting families?
Norihide Tokushige
We provide a necessary and sufficient condition for stars to be the largest cross intersecting families.
AK-type stability theorems on cross t-intersecting families
Sang June Lee, Mark Siggers, Norihide Tokushige
Two families, and , of subsets of are cross -intersecting if for every and , and intersect in…