4 citations · 4 across the 3 of their papers we have counts for
3 papers
math.CO2020
Optimal embedding and spectral gap of a finite graph
Takumi Gomyou, Toshimasa Kobayashi, Takefumi Kondo +1
We introduce a new optimization problem regarding embeddings of a graph into a Euclidean space and discuss its relation to the two, mutually dual, optimizations problems introduced…
math.MG2013
Uniform estimates of nonlinear spectral gaps
Takefumi Kondo, Tetsu Toyoda
By generalizing the path method, we show that nonlinear spectral gaps of a finite connected graph are uniformly bounded from below by a positive constant which is independent of th…
math.DG2012★ 4 cited
N-step energy of maps and fixed-point property of random groups
Hiroyasu Izeki, Takefumi Kondo, Shin Nayatani
We prove that a random group of the graph model associated with a sequence of expanders has fixed-point property for a certain class of CAT(0) spaces. We use Gromov's criterion for…