2 papers
math.CO2025
Bounds for the largest eigenvalue and sum of Laplacian eigenvalues of signed graphs
Linfeng Xie, Xiaogang Liu
In this paper, we consider the bounds for the largest eigenvalue and the sum of the largest Laplacian eigenvalues of signed graphs. Firstly, we give an upper bound on the large…
math.CO2025
Fractional revival on quasi-abelian Cayley graphs
Yi Fang, Xueyi Huang, Xiaogang Liu +1
Fractional revival, a quantum transport phenomenon critical to entanglement generation in quantum spin networks, generalizes the notion of perfect state transfer on graphs. A Cayle…