144 citations · 202 across the 16 of their papers we have counts for
Showing math.COShow all
3 papers · 1 filter
math.CO2024
Spectra of infinite Cayley graphs, examples with pure band spectra
Pierre de la Harpe
It is shown that there are groups with finite generating sets such that the adjacency operator of the Cayley graph is a disjoint union of intervals, fo…
math.CO2023
Spectral multiplicity functions of adjacency operators of graphs and cospectral infinite graphs
Pierre de la Harpe
The adjacency operator of a graph has a spectrum and a class of scalar-valued spectral measures which have been systematically analyzed; it also has a spectral multiplicity functio…
math.CO2022★ 1 cited
Spectral measures and dominant vertices in graphs of bounded degree
Claire Bruchez, Pierre de la Harpe, Tatiana Nagnibeda
A graph of bounded degree has an adjacency operator~ which acts on the Hilbert space . There are different kinds of measures of interest on the spectrum…