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
NE1 8ST

  • Please visit the Pure Research Information Portal for further information
  • Computing dominant metric dimensions of certain connected networks, Ali, I., Javaid, M., Shang, Y. 29 Feb 2024, In: Heliyon
  • On the eigenvalues and energy of the Seidel and Seidel Laplacian matrices of graphs, Askari, J., Das, K., Shang, Y. 12 Apr 2024, In: Discrete Dynamics in Nature and Society
  • On the skew characteristics polynomial/eigenvalues of operations on bipartite oriented graphs and applications, Ganie, H., Ingole, A., Deshmukh, U., Shang, Y. 15 Feb 2024, In: Research in Mathematics
  • Rainbow connectivity and rainbow index of inhomogeneous random graphs, Shang, Y. 1 Jan 2024, In: European Journal of Combinatorics
  • Relations between ordinary energy and energy of a self-loop graph, Rakshith, B., Das, K., Manjunatha, B., Shang, Y. 30 Mar 2024, In: Heliyon
  • Some Inequalities between General Randić-Type Graph Invariants, Nadeem, I., Siddique, S., Shang, Y. 20 Feb 2024, In: Journal of Mathematics
  • The General Extended Adjacency Eigenvalues of Chain Graphs, Rather, B., Ganie, H., Das, K., Shang, Y. 6 Jan 2024, In: Mathematics
  • Ad-Hoc Lanzhou Index, Ali, A., Shang, Y., Dimitrov, D., Réti, T. 11 Oct 2023, In: Mathematics
  • Algebraic Structure Graphs over the Commutative Ring Zm: Exploring Topological Indices and Entropies Using M-Polynomials, Alali, A., Ali, S., Hassan, N., Mahnashi, A., Shang, Y., Assiry, A. 7 Sep 2023, In: Mathematics
  • A Unified Approach for Extremal General Exponential Multiplicative Zagreb Indices, Ismail, R., Azeem, M., Shang, Y., Imran, M., Ahmad, A. 9 Jul 2023, In: Axioms

  • Please visit the Pure Research Information Portal for further information
  • Organising a conference, workshop, ...: 2021 3rd International Conference on Computer Modeling, Simulation and Algorithm 2021
  • Organising a conference, workshop, ...: 2020 4th International Conference on Modelling, Simulation and Applied Mathematics 2020
  • Organising a conference, workshop, ...: 2019 International Conference on Modeling, Simulation, Optimization and Algorithm 2019
  • Invited talk: Recent advances on variants of Estrada index of random graphs 2019
  • Invited talk: New bounds for Gaussian Estrada index of graphs 2019

  • Applied Mathematics PhD June 30 2010
  • AFHEA 2019
  • FHEA 2020


a sign in front of a crowd
+

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.

NU World
+

Explore NU World

Find out what life here is all about. From studying to socialising, term time to downtime, we’ve got it covered.


Latest News and Features

Afghanistan’s economy is in crisis, one of the reasons the Taliban may be looking to develop its relationship with Russia. Guido Schiefer /Alamy
Roisin Currie
Jack Gooday with the Chief Constable of Humberside Police receivng an award.
Vera Selby MBE.
Image of earth in space. Shutterstock/ixpert
image of a mobile phone with the instagram app logo on the screen
More news

Back to top