Ryoshun Oba

collaborators

2 papers

math.CO2023

Rigidity of Balanced Minimal Cycle Complexes

Ryoshun Oba

A $(d - 1)$ -dimensional simplicial complex $Δ$ is balanced if its graph $G (Δ)$ is $d$ -colorable. Klee and Novik obtained the balanced lower bound theorem for balanced normal $(d - 1)$ -…

math.CO2023

Realizable Dimension of Periodic Frameworks

Ryoshun Oba, Shin-ichi Tanigawa

Belk and Connelly introduced the realizable dimension $rd (G)$ of a finite graph $G$ , which is the minimum nonnegative integer $d$ such that every framework $(G, p)$ in any…