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

Bauer, Frank ; Hua, Bobo and Jürgen Jost: The dual Cheeger constant and spectra of infinite graphs
In: Advances in mathematics, 251 (2014), p. 147-194
[DOI] [ARXIV]

Jost, Jürgen and Shiping Liu: Ollivier's Ricci curvature, local clustering and curvature dimension inequalities on graphs
In: Discrete and Computational Geometry, 51 (2014) 2, p. 300-322
MIS-Preprint: 21/2011 [DOI] [ARXIV]

Banerjee, Anirban ; Bauer, Frank and Jürgen Jost: On the spectrum of the normalized Laplacian for directed graphs

Hua, Bobo and Jürgen Jost: Lq harmonic functions on graphs

Bauer, Frank ; Jost, Jürgen and Anirban Banerjee: Eigenvalues of the normalized graph Laplacian and the architecture of directed networks

Hua, Bobo ; Jost, Jürgen and Xianqing Li-Jost: Polynomial growth harmonic functions on finitely generated abelian groups
In: Annals of global analysis and geometry, 44 (2013) 4, p. 417-432
[DOI] [ARXIV]

Horak, Danijela and Jürgen Jost: Spectra of combinatorial Laplace operators on simplicial complexes
In: Advances in mathematics, 244 (2013), p. 303-336
[DOI] [ARXIV]

Horak, Danijela and Jürgen Jost: Interlacing inequalities for eigenvalues of discrete Laplace operators
In: Annals of global analysis and geometry, 43 (2013) 2, p. 177-207
[DOI] [ARXIV]

Bauer, Frank and Jürgen Jost: Bipartite and neighborhood graphs and the spectrum of the normalized graph Laplace operator
In: Communications in analysis and geometry, 21 (2013) 4, p. 787-845
MIS-Preprint: 30/2010 [DOI] [ARXIV]

Hua, Bobo and Jürgen Jost: Polynomial growth harmonic functions on groups of polynomial volume growth

Chen, Hao and Jürgen Jost: Minimum vertex covers and the spectrum of the normalized Laplacian on trees
In: Linear algebra and its applications, 437 (2012) 4, p. 1089-1101
[DOI] [ARXIV]

Bauer, Frank ; Jost, Jürgen and Shiping Liu: Ollivier-Ricci curvature and the spectrum of the normalized graph Laplace operator
In: Mathematical research letters, 19 (2012) 6, p. 1185-1205
MIS-Preprint: 25/2011 [DOI] [ARXIV]

Jost, Jürgen and Hao Chen: Another proof of Oscar Rojo's theorems

Banerjee, Anirban and Jürgen Jost: On the spectrum of the normalized graph Laplacian
In: Linear algebra and its applications, 428 (2008) 11-12, p. 3015-3022
[DOI] [ARXIV]

Topics

Eigenvalues of graph Laplacians

curvature of graphs

2. Network analysis

Samal, Areejit ; Rodrigues, Joao Matias ; Jost, Jürgen ; Martin, Olivier and Andreas Wagner: Genotype networks in metabolic reaction spaces
In: BMC systems biology, 4 (2010), 30
MIS-Preprint: 12/2010 [DOI]

Banerjee, Anirban and Jürgen Jost: Spectral characterization of network structures and dynamics
In: Dynamics on and of complex networks : applications to biology, computer science, and the social sciences / Niloy Ganguly... (eds.)
Boston, Mass. [u. a.] : Birkhäuser, 2009. - P. 117-132
(Modeling and simulation in science, engineering and technology)
[DOI]

Banerjee, Anirban and Jürgen Jost: Graph spectra as a systematic tool in computational biology
In: Discrete applied mathematics, 157 (2009) 10, p. 2425-2431
[DOI] [ARXIV]

Helbing, Dirk ; Vespignani, Alessando and Jürgen Jost: Preface
In: Networks and heterogeneous media, 3 (2008) 2, i-ii

Banerjee, Anirban and Jürgen Jost: Spectral plot properties : towards a qualitative classification of networks
In: Networks and heterogeneous media, 3 (2008) 2, p. 395-411
[DOI]

Feng, Jian Feng ; Jost, Jürgen and Min Ping Qian (eds.): Networks : from biology to theory
London : Springer, 2007. - XXV, 313 p.
ISBN 978-1-84628-485-4 ISBN 978-1-84628-780-0
[DOI]

Banerjee, Anirban and Jürgen Jost: Laplacian spectrum and protein-protein interaction networks

Banerjee, Anirban and Jürgen Jost: Spectral plots and the representation and interpretation of biological data
In: Theory in biosciences, 126 (2007) 1, p. 15-21
[DOI]

Topics

Spectral analysis of networks

distinctive properties of speci c classes of networks

3. Statistical properties

Olbrich, Eckehard ; Kahle, Thomas ; Bertschinger, Nils ; Ay, Nihat and Jürgen Jost: Quantifying structure in networks
In: The European physical journal / B, 77 (2010) 2, p. 239-247
MIS-Preprint: 81/2009 [DOI] [ARXIV]

Topics

Motif distributions

random network ensembles

information geometry

4. Other

Hubicka, Jan ; Jost, Jürgen ; Long, Yangjing ; Stadler, Peter F. and Ling Yang: Relations between graphs
In: Ars mathematica contemporanea, 6 (2013) 2, p. 323-350
MIS-Preprint: 28/2011 [ARXIV] [FREELINK]

Jost, Jürgen and Leonard Todjihounde: Harmonic nets in metric spaces
In: Pacific journal of mathematics, 231 (2007) 2, p. 437-444

Jost, Jürgen and Maliackal Poulo Joy: Evolving networks with distance preferences
In: Physical review / E, 66 (2002) 3, 036126
MIS-Preprint: 13/2002 [DOI]

21.04.2014, 05:51