124 citations · 548 across the 41 of their papers we have counts for
5 papers · 1 filter
Harmonic nets in metric spaces
J. Jost, L. Todjihounde
We investigate harmonic maps from weighted graphs into metric spaces that locally admit unique centers of gravity, like Alexandrov spaces with upper curvature bounds. We prove an e…
Spectral plots and the representation and interpretation of biological data
Anirban Banerjee, Jürgen Jost
It is basic question in biology and other fields to identify the char- acteristic properties that on one hand are shared by structures from a particular realm, like gene regulation…
Graph spectra as a systematic tool in computational biology
Anirban Banerjee, Jürgen Jost
We present the spectrum of the (normalized) graph Laplacian as a systematic tool for the investigation of networks, and we describe basic properties of eigenvalues and eigenfunctio…
On the spectrum of the normalized graph Laplacian
Anirban Banerjee, Jürgen Jost
The spectrum of the normalized graph Laplacian yields a very comprehensive set of invariants of a graph. In order to understand the information contained in those invariants better…
Laplacian Spectrum and Protein-Protein Interaction Networks
Anirban Banerjee, Jürgen Jost
From the spectral plot of the (normalized) graph Laplacian, the essential qualitative properties of a network can be simultaneously deduced. Given a class of empirical networks, re…