2 papers
math.CO2024
Maximization of the first Laplace eigenvalue of a finite graph II
Takumi Gomyou, Shin Nayatani
Given a length function on the set of edges of a finite graph, the corresponding Fujiwara Laplacian is defined. We consider a problem of maximizing the first nonzero eigenvalue of…
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…