Types of Graphs - classifications

So much interesting:

https://docs.dgl.ai/tutorials/basics/4_batch.html

I was looking for smtg similar since years.

https://docs.dgl.ai/api/python/data.html#dgl.data.MiniGCDataset

Could you please other dataset to extend collection of types of graphs ad rationale of how graphs have been chosen ?

As a discussion, imagine a real world graph:

are these graphs considered “lego bricks” to describe a vast complexity of networks, or have been arbitrarily chosen?

I basically wonder if it would make sense to consider real world graphs as compositions of this preset.

Please advice or pros and cons.

My purpose is to classify structures.

We just create the dataset out of common random graphs provided in networkx for a demo. In real world the graphs can be highly arbitrary, though you can probably consider common blocks like circles.