Skip navigation

Dr Yilun Shang

Associate Professor

Department: Computer and Information Sciences

 Yilun Shang

I have an interdisciplinary interest in complex system, which refers to a system composed of many interacting parts, such that the collective behaviour of those parts together is more than sum of their individual behaviour.

I am currently an Associate Professor in Computer and Information Sciences at Northumbria. Prior to this I have been an Associate Professor at Tongji University leading the Complex Network group in School of Mathematical Sciences for four years (2014-2018). Before this I held various postdoctoral appointments with Institute for Cyber Security and Department of Computer Science at University of Texas at San Antonio, SUTD-MIT International Design Centre at Singapore University of Technology and Design, and Einstein Institute of Mathematics at Hebrew University of Jerusalem (2010-2014). In 2017, I visited Department of Mathematical Sciences at University of Essex as a short stay Essex International Visiting Fellow. I received my PhD degree in Applied Mathematics in 2010 and BSc degree in Mathematics in 2005, both from Shanghai Jiao Tong University. I received the 2016 Dimitrie Pompeiu Prize from the Romanian Academy in recognition of my work in network synchronization and presented a 15min short communication in the 2018 International Congress of Mathematicians in Rio de Janeiro under the auspices of Open Arms Grants.

In the framework of complex networks and systems, my current research activities can roughly be grouped into three categories as follows.

1. Physical and functional properties of complex networks.

Robustness and resilience of complex networks using percolation theory, probabilistic analysis, master equations, network-theoretic methods, and numerical simulations; Information diffusion and epidemic disease models using graph theory, ordinary/partial/stochastic differential equations, stochastic processes, stability theory, Lie algebra method, and numerical simulations.

2. Mathematical properties of complex network models and random graphs.

Combinatorial study of various random graph models, including E-R random graph, Chung-Lu model, random regular graphs, random intersection graphs, random geometric graphs, inhomogeneous random graphs, stochastic block models, networks of networks;  Topological and geometric properties including degree distribution, distance, Hamiltonian path, cycles, connectivity, connected components, clustering coefficient, chromatic number, clique number, independence number, hierarchical self-similarity, expander properties, Gromov hyperbolicity, random walks, graphon, and various algebraic graph indices.

3. Nonlinear dynamical systems and collective behaviours in complex systems.

Social/biological dynamics over complex networks (including opinion evolutions, information diffusion, and swarm dynamics); Synchronization phenomenon and consensus problems in multi-agent systems with applications in system engineering using control theory, matrix theory, optimization methods, and numerical simulations.

Opportunities to carry out postgraduate research towards a PhD/MSc by research exist in all the areas of interest identified above. I’m always open to suggestions for PhD/MSc topics in my research area of complex networks and systems.


Campus Address

Room 206, Ellison Building Block B
Northumbria University
Newcastle upon Tyne


  • Applied Mathematics PhD June 30 2010
  • AFHEA 2019

Key Publications

  • Please visit the Pure Research Information Portal for further information
  • Attack robustness and stability of generalized k-cores, Shang, Y. 10 Sep 2019, In: New Journal of Physics
  • Consensus of hybrid multi-agent systems with malicious nodes, Shang, Y. 23 May 2019, In: IEEE Transactions on Circuits and Systems II: Express Briefs
  • Harmonic Oscillators, Shang, Y. Aug 2019
  • Isoperimetric Numbers of Randomly Perturbed Intersection Graphs, Shang, Y. 1 Apr 2019, In: Symmetry
  • Merging the Spectral Theories of Distance Estrada and Distance Signless Laplacian Estrada Indices of Graphs, Alhevaz, A., Baghipur, M., Shang, Y. 19 Oct 2019, In: Mathematics
  • On Generalized Distance Gaussian Estrada Index of Graphs, Alhevaz, A., Baghipur, M., Shang, Y. 11 Oct 2019, In: Symmetry
  • On the Structural Balance Dynamics Under Perceived Sentiment, Shang, Y. 26 Aug 2019, In: Bulletin of the Iranian Mathematical Society
  • Poisson approximation of induced subgraph counts in an inhomogeneous random intersection graph model, Shang, Y. Sep 2019, In: Bulletin of the Korean Mathematical Society
  • Resilient Consensus for Expressed and Private Opinions, Shang, Y. 26 Sep 2019, In: IEEE Transactions on Cybernetics
  • Strong Equality of Perfect Roman and Weak Roman Domination in Trees, Alhevaz, A., Darkooti, M., Rahbani, H., Shang, Y. 21 Oct 2019, In: Mathematics


Northumbria Open Days

Open Days are a great way for you to get a feel of the University, the city of Newcastle upon Tyne and the course(s) you are interested in.

Research at Northumbria

Research at Northumbria

Research is the life blood of a University and at Northumbria University we pride ourselves on research that makes a difference; research that has application and affects people's lives.


Order your prospectus

If you would like to know more about our courses, or life in general as a student at Northumbria, then we can help you.

Latest News and Features

More news

Back to top