3 papers
math.CO2023
GDD type Spanning Bipartite Block Designs
Shoko Chisaki, Ryoh Fuji-Hara, Nobuko Miyamoto
There is a one-to-one correspondence between the point set of a group divisible design (GDD) with groups of points and the edge set of a complete bipartite graph $K_{v_…
math.CO2023
Optimality and Constructions of Spanning Bipartite Block Designs
Shoko Chisaki, Ryoh Fuji-Hara, Nobuko Miyamoto
We consider a statistical problem to estimate variables (effects) that are associated with the edges of a complete bipartite graph . Each data is ob…
math.CO2023
Ideal Secret Sharing Schemes: Combinatorial Characterizations, Certain Access Structures, and Related Geometric Problems
Ryoh Fuji-Hara, Ying Miao
An ideal secret sharing scheme is a method of sharing a secret key in some key space among a finite set of participants in such a way that only the authorized subsets of participan…