On a magneto-spectral invariant on finite graphs
Chunyang Hu, Bobo Hua, Supanat Kamtue, Shiping Liu, Florentin Münch, Norbert Peyerimhoff
公開日: 2025/7/4
Abstract
In this paper, we introduce a magneto-spectral invariant for finite graphs. This invariant vanishes on trees and is maximized by complete graphs. We compute this invariant for cycles, complete graphs, wheel graphs and suspensions of trees and derive various lower and upper bounds. We discuss the behaviour of this invariant under various graph operations and investigate relations to the spectral gap.