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math.NT2025
Topological properties of generalized Markoff mod graphs
Shohei Satake, Yoshinori Yamasaki
The generalized Markoff mod graph is defined via the equation over the finite field of prime order . In this paper, we investigate the top…
math.CO2025
On cyclotomic nearly-doubly-regular tournaments
Shohei Satake
Nearly-doubly-regular tournaments have played significant roles in extremal graph theory. In this note, we construct new cyclotomic nearly-doubly-regular tournaments and determine…