2 citations · 4 across the 3 of their papers we have counts for
4 papers
Existence of a Model Companion for Groups of Exponent 3
Yawara Ishida, Ryosuke Mizuno, Kota Takeuchi
In this article, we prove that the theory of groups of exponent has a model companion. Previous work established the existence of model companions for theories of groups…
No involutions in the missing Moore graph
Yawara Ishida
The existence of a Moore graph of degree is the last open case in the Hoffman-Singleton classification of Moore graphs of diameter two. We prove that such a graph, if one exis…
Constructing Large-scale Low-latency Network from Small Optimal Networks
Ryosuke Mizuno, Yawara Ishida
The construction of large-scale, low-latency networks becomes difficult as the number of nodes increases. In general, the way to construct a theoretically optimal solution is unkno…
A Generalization of Brown's Construction for the Degree/Diameter Problem
Yawara Ishida
The degree/diameter problem is the problem of finding the largest possible number of vertices in a graph of given degree and diameter . We consider the problem for…