Name
Abstract | ||
|---|---|---|
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 eigenfunctions. Processes of graph formation like motif joining or duplication leave characteristic traces in the spectrum. This can suggest hypotheses about the evolution of a graph representing biological data. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1016/j.dam.2008.06.033 | Discrete Applied Mathematics |
Keywords | Field | DocType |
foodweb,basic property,spectral plot,graph spectrum,systematic tool,computational biology,graph formation,protein–protein interaction network,transcription network,graph laplacian,biological network,metabolic network,characteristic trace,biological data,neuronal network,graph evolution,qualitative data,spectrum,quantitative method | Adjacency matrix,Laplacian matrix,Discrete mathematics,Combinatorics,Spectral graph theory,Graph energy,Integral graph,Null graph,Voltage graph,Graph (abstract data type),Mathematics | Journal |
Volume | Issue | ISSN |
157 | 10 | Discrete Applied Mathematics |
Citations | PageRank | References |
13 | 1.05 | 5 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Anirban Banerjee | 1 | 75 | 11.29 |
| Jürgen Jost | 2 | 50 | 9.30 |