3 papers
math.SP2025
Repelling curvature via repelling Laplacian on positive connected signed graphs
Yong Lin, Shi Wan
The paper defines a positive semidefinite operator called repelling Laplacian on a positive connected signed graph where is an arbitrary positive number less than a const…
math.CO2024
Connection Heat Kernel On Connection Lattices And Connection Discrete Torus
Yong Lin, Shi Wan
By the connection graph we mean an underlying weighted graph with a connection which associates edge set with an orthogonal group. This paper centers its investigation on the conne…
math.SP2024
Connection Laplacian on discrete tori with converging property
Yong Lin, Shi Wan, Haohang Zhang
This paper presents a comprehensive analysis of the spectral properties of the connection Laplacian for both real and discrete tori. We introduce novel methods to examine these eig…