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Prof Ernesto Estrada

Mathematics and Statistics

Personal statement

Professor Estrada has an internationally leading reputation for shaping and developing the study of complex networks. His expertise ranges in the areas of network structure, algebraic network theory, dynamical systems on networks and the study of random models of networks. He has a distinguished track record of high-quality publications, which has attracted more than 7, 500 citations. His h-index (number of papers with at least h citations) is 51. His publications are in the areas of network theory and its applications to social, ecological, engineering, physical, chemical and biological real-world problems. Professor Estrada has published two text books on network sciences both published by Oxford University Press in 2011 and 2015, respectively. He has demonstrated a continuous international leadership in his field where he has been invited and plenary speaker at the major conferences in network sciences and applied mathematics. Currently he is involved in the following general research areas:
• Structural characterisation of complex networks via the use of matrix functions
• Development and mathematical analysis of random geometric networks
• Study of generalised Laplacian operators for networks
• Development of generalised diffusion models for networks
• Study of indirect peer pressure over consensus dynamics on networks
• Development of generalised classical and quantum random walk models on networks
• Applications of network sciences to oil and gas exploration
• Characterisation of spatial efficiency of networks
• Study of Euclidean geometrical embedding of networks
• Application of network theory to study the efficiency of airport transportation networks
• Application of network theory to ecology and social sciences
• Study of protein-protein interaction networks as potential drug targets
• Use of network theory to study structural and physico-chemical properties of proteins
• Applications of network theory to material sciences.

In 2013 Estrada became the founder and Editor-in-Chief of the Journal of Complex Networks published by Oxford University Press. This high quality journal publishes original articles and reviews with a significant contribution to the analysis and understanding of complex networks and its applications in diverse fields. Complex networks are loosely defined as networks with nontrivial topology and dynamics, which appear as the skeletons of complex systems in the real-world. The journal covers everything from the basic mathematical, physical and computational principles needed for studying complex networks to their applications leading to predictive models in molecular, biological, ecological, informational, engineering, social, technological and other systems.

More information and the way to submit your manuscript can be found at:


Path Laplacian operators and superdiffusive processes on graphs. I. one-dimensional case
Estrada Ernesto, Hameed Ehsan, Hatano Naomichi, Langer Matthias
Linear Algebra and Its Applications Vol 523, pp. 307-334, (2017)
Accounting for the role of long walks on networks via a new matrix function
Estrada Ernesto, Silver Grant
Journal of Mathematical Analysis and Applications Vol 449, pp. 1581-1600, (2017)
Core–satellite graphs : clustering, assortativity and spectral properties
Estrada Ernesto, Benzi Michele
Linear Algebra and Its Applications Vol 517, pp. 30-52, (2017)
Exploring the “Middle Earth” of network spectra via a Gaussian matrix function
Estrada Ernesto, Alhomaidhi Alhanouf Ali, Al-Thukair Fawzi
Chaos: An Interdisciplinary Journal of Nonlinear Science Vol 023109, pp. 1-27, (2017)
The ABC matrix
Estrada Ernesto
Journal of Mathematical Chemistry, (2016)
Epidemic spreading in random rectangular networks
Estrada Ernesto, Meloni Sandro, Sheerin Matthew, Moreno Yamir
Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics Vol 94, (2016)

more publications

Professional activities

SIAM Journal on Applied Mathematics (Journal)
Associate Editor
6th International Conference on Network Analysis
Keynote/plenary speaker
2016 International Conference on Mathematical Chemistry
Invited speaker
8th International Conference on Discrete Models of Complex Systems
Invited speaker
International Summer School on Complex Networks, Bertinoro, Italy
Visiting lecturer
International School Complex Networks: Theory, Methods & Applications, Lake Como, Italy
Visiting lecturer

more professional activities


Doctoral Training Partnership (DTP - University of Strathclyde) | Ross, Grant Jamieson
Langer, Matthias (Principal Investigator) Estrada, Ernesto (Co-investigator) Ross, Grant Jamieson (Research Co-investigator)
Period 01-Oct-2015 - 01-Oct-2018
Doctoral Training Partnership (DTA - University of Strathclyde) | Silver, Grant Russell
Grinfeld, Michael (Principal Investigator) Estrada, Ernesto (Co-investigator) Silver, Grant Russell (Research Co-investigator)
Period 01-Oct-2014 - 01-Apr-2018
EPSRC Doctoral Training Grant - DTA, University of Strathclyde | Sheerin, Matthew James
Estrada, Ernesto (Principal Investigator) Knight, Philip (Co-investigator) Sheerin, Matthew James (Research Co-investigator)
Period 01-Oct-2013 - 01-Apr-2017
System Risks In Information-Rich Environments: Monitoring For Safe And Cost-Effective Operation (Bridging The Gap) / RA4422
Estrada, Ernesto (Co-investigator) Estrada, Ernesto (Co-investigator) Keenan, Helen (Co-investigator)
Period 23-Feb-2009 - 30-Apr-2010
System Risks In Information-Rich Environments: Monitoring For Safe And Cost-Effective Operation (Bridging The Gap) / RA4498
Estrada, Ernesto (Principal Investigator)
Period 24-Nov-2009 - 30-Apr-2010
System Risks In Information-Rich Environments: Monitoring For Safe And Cost-Effective Operation (Bridging The Gap) / RA4513
Estrada, Ernesto (Principal Investigator)
Period 24-Nov-2009 - 30-Apr-2010

more projects


Mathematics and Statistics
Livingstone Tower

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