Jürgen Jost
Publikationen

Max-Planck-Institut für Mathematik in den Naturwissenschaften

Telefon:
+49 (0) 341 - 9959 - 550

Fax:
+49 (0) 341 - 9959 - 555

Email

Addresse:
Inselstr. 22
04103 Leipzig
Deutschland

Graphs and networks

1. Graphs and their spectra

  • S.P. Liu and J. Jost. Ollivier's ricci curvature, local clustering and curvature dimension inequalities on graphs.
  • F. Bauer and J. Jost. Bipartite and neighborhood graphs and the spectrum of the normalized graph Laplacian.
  • A. Banerjee and J. Jost. On the spectrum of the normalized graph Laplacian. Linear Algebra and its Application, 428:3015-3022, 2008.

Topics

Eigenvalues of graph Laplacians

curvature of graphs

2. Network analysis

  • A. Samal, J.M. Rodrigues, J. Jost, O. Martin, and A. Wagner. Genotype networks in metabolic reaction spaces. BMC Systems Biology, 4(30):doi:10.1186/1752-0509-4-30, 2010.
  • J. Feng, J. Jost, and M. Qian. Networks: From Biology to Theory. Lecture Notes Computer Science. Springer, 2007. (see TOC and download of chapter 3)
  • A. Banerjee and J. Jost. Spectral characterization of network structures and dynamics. In Animesh Mukherjee et al., editor, Dynamics on and of complex networks. Birkhäuser.
  • A. Banerjee and J. Jost. Spectral plot properties: Towards a qualitative classification of networks. Networks Heterog. Media, 3:395-411, 2008.
  • A. Banerjee and J. Jost. Laplacian spectrum and protein-protein interaction networks. eprint arXiv, 0705.3373, 2007.
  • A. Banerjee and J. Jost. Graph spectra as a systematic tool in computational biology. Discrete Appl. Math., 157:2425-2431, 2009.
  • A. Banerjee and J. Jost. Spectral plots and the representation and interpretation of biological data. Theory Biosci., (126):15-21, 2007.

Topics

Spectral analysis of networks

distinctive properties of speci c classes of networks

3. Statistical properties

  • T. Kahle, N. Bertschinger, N. Ay, J. Jost, and E. Olbrich. Quantifying structure in networks. Europ.Phys.J.B, 77:239-247, 2010.

Topics

Motif distributions

random network ensembles

information geometry

4. Other

  • J. Jost and L. Todjihounde. Harmonic nets in metric spaces. Pac.J.Math., (231):437-444, 2007.
  • J. Jost and M. P. Joy. Evolving networks with distance preferences. Physical Review E, 66(036126):7 pages, 2002.
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