77 citations · 956 across the 77 of their papers we have counts for
Showing 2017Show all
3 papers · 1 filter
math.AP2017★ 28 cited
Bi-Laplacians on graphs and networks
Federica Gregorio, Delio Mugnolo
We study the differential operator acting on a connected network along with , the square of the discrete Laplacian acting on a conn…
math.SP2017★ 40 cited
Edge connectivity and the spectral gap of combinatorial and quantum graphs
Gregory Berkolaiko, James B. Kennedy, Pavel Kurasov +1
We derive a number of upper and lower bounds for the first nontrivial eigenvalue of a finite quantum graph in terms of the edge connectivity of the graph, i.e., the minimal number…
math.DS2017★ 4 cited
Dynamical systems associated with adjacency matrices
Delio Mugnolo
We develop the theory of linear evolution equations associated with the adjacency matrix of a graph, focusing in particular on infinite graphs of two kinds: uniformly locally finit…