29 citations · 32 across the 6 of their papers we have counts for
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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…
Helmholzian Spectra of Graphs: Novel Properties
Lu Lu, Yongtang Shi, Zoran Stanić +2
Let $\grad$, $\curl$, and $\dv$ be the graph-theoretic analogues of the gradient, curl, and divergence operators from multivariate calculus. The graph Laplacian $-\dv \grad$ gives…
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…
Spectral extremal graphs for the bowtie
Yongtao Li, Lu Lu, Yuejian Peng
Let be the (friendship) graph obtained from triangles by sharing a common vertex. The -free graphs of order which attain the maximal spectral radius was firstly…
Spectral radius of graphs forbidden or
Junying Lu, Lu Lu, Yongtao Li
Let be the graph obtained from a cycle by adding a new vertex connecting two adjacent vertices in . In this note, we obtain the graph maximizing th…
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…