42 citations · 263 across the 62 of their papers we have counts for
5 papers · 1 filter
On the symmetry of the Laplacian spectra of signed graphs
Fatihcan M. Atay, Bobo Hua
We study the symmetry properties of the spectra of normalized Laplacians on signed graphs. We find a new machinery that generates symmetric spectra for signed graphs, which include…
Time regularity and long-time behavior of parabolic -Laplace equations on infinite graphs
Bobo Hua, Delio Mugnolo
We consider the so-called \emph{discrete -Laplacian}, a nonlinear difference operator that acts on functions defined on the nodes of a possibly infinite graph. We study the asso…
A notion of nonpositive curvature for general metric spaces
Miroslav Bačák, Bobo Hua, Jürgen Jost +2
We introduce a new definition of nonpositive curvature in metric spaces and study its relationship to the existing notions of nonpositive curvature in comparison geometry. The main…
Spectral distances on graphs
Jiao Gu, Bobo Hua, Shiping Liu
By assigning a probability measure via the spectrum of the normalized Laplacian to each graph and using L^p Wasserstein distances between probability measures, we define the corres…
Davies-Gaffney-Grigor'yan Lemma on Graphs
Frank Bauer, Bobo Hua, Shing-Tung Yau
We prove a variant of the Davies-Gaffney-Grigor'yan Lemma for the continuous time heat kernel on graphs. We use it together with the Li-Yau inequality to obtain strong heat kernel…