3 papers
math.DG2025
First-eigenvalue maximization and inflation of maps
Shin Nayatani
Given a compact manifold equipped with a volume element and a Riemannian metric, we formulate and study a dual pair of optimization problems: one concerning smooth maps from the ma…
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.CO2022
Maximization of the first Laplace eigenvalue of a finite graph
T. Gomyou, S. Nayatani
Given a length function on the edge set of a finite graph, we define a vertex-weight and an edge-weight in terms of it and consider the corresponding graph Laplacian. In this paper…