3 papers
math.CO2026
On the sum of the two largest eigenvalues of the curl-curl operator on graphs
Yueli Han, Lu Lu, Jianfeng Wang
The Grone--Merris conjecture, proved by Bai in~2011, states that the spectrum of the graph Laplacian is majorized by the conjugate of…
math.CO2026
Helmholzian spectra of graphs: basic properties
Lu Lu, Yongtang Shi, Zoran Stanić +2
The Helmholtzian matrix of a graph is a graph-theoretic analogue of the vector Laplacian (or Helmholtz operator) [S. Li, L. Lu, J.F. Wang, A graph discretization of…
math.CO2020
On the largest and least eigenvalues of eccentricity matrix of trees
Xiaocong He
The eccentricity matrix of a graph is constructed from the distance matrix of by keeping only the largest distances for each row and each column. This matr…