Mathematical study of Graphs. These are very similar to Networks studied in Network theory.

Graph Theory by Sarada Herke

Definition of a graph

notes

Spectral graph theory – https://arxiv.org/pdf/1011.2608.pdf

See Mathematics of networks

Path (Graph theory)

Families of graphs and Networks. Connected and Regular Graphs

Graph isomorphism and automorphism

Often we do not make a distinctio n between isomorphic graphs, treating them as the same.

http://math.stackexchange.com/questions/790110/whats-the-difference-between-the-automorphism-and-isomorphism-of-graph

Graph isomorphism – video. Isomorphic and Non-Isomorphic Graphs

Graph automorphism

See here for definition of graph homomorphism.

Graph colouring

https://www.wikiwand.com/en/List_coloring

Introduction to Graph Colouring

https://www.youtube.com/watch?v=Gc8emFk-2vc&list=PLwygftUY318G_Yo5pp1UDU613ey0nNlIj