Nobuko Miyamoto

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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 $v_{1}$ groups of $v_{2}$ 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 $K_{v_{1}, v_{2}} = (V_{1}, V_{2}; E)$ . Each data is ob…