A mathematician on the forum previously requested a reference on human brains modelled as directed graphs. This makes sense as neurons are mostly unidirectional and I have been thinking about similar things recently.
In the same vein, might there be a good reference on random directed graphs that includes a section on the properties of almost all directed graphs? I must add that I'm looking for a text that is self-contained.
To clarify what I mean by property it may be useful to provide a few examples in the case of simple graphs. Almost all simple graphs have diameter 2, are connected and are Hamiltonian .
- Anuj Dawar and Erich Grädel. Properties of Almost All Graphs and Generalized Quantifiers. 2010.
- Edward T. Bullmore and Danielle S. Bassett. Brain Graphs: Graphical Models of the Human Brain Connectome. 2011.
- Danielle S. Bassett and Edward T. Bullmore. Small-World Brain Networks Revisited. 2017.