Oxford notes Network science

Discrete Dynamical Networksand their Attractor Basins

See Discrete dynamical systems

See Mason and Gleeson tutorial article

See also Temporal networks

Deterministic processes on networks

Graph dynamical system

Epidemics on networks

Type of update rule

Two main types:

• Synchronous updating: all nodes at the same time.
• Asynchronous updating: Nodes at different times.
  • Serial updating. Only one node is updated at a time.
    • Random serial updating. The node is chosen at random.
    • Sequential serial updating. The nodes are chosen in a fixed sequence.

Random processes on networks

Probability on Graphs

Critical phenomena in networks

Percolation

Random graph

Directed percolation

Epidemics on networks, Population dynamics, Random walk in a graph

Chemical reaction network theory

Applications

Systems biology