The python-igraph documentation includes a gallery of example applications:

https://python.igraph.org/en/stable/tutorials/index.html

This issue is to implement more examples. If you have ideas for examples, post them here. For inspiration, you may also look at the IGraph/M documentation, which includes many visual examples.

• Clique percolation.
• Personalized PageRank on a grid (see http://szhorvat.net/mathematica/IGDocumentation/#pagerank)
• Motif analysis with nice plots. Compare 3-motif counts in some directed network with a degree-constrained null model.
• ... your idea here! ...

This is a good first issue if you are looking to start contributing to igraph with technical writing.

CC @RU-Lokamruth