The purpose of this course is to introduce students to the topics in the course content.

Planar graphs, infinite planar graphs, locally finite planar graphs, symmetry groups of graphs, edge-transitive graphs, vertex-transitive graphs, Cayley graphs, Cayley graphs of finite and infinite graphs, graphs on surfaces, Euler characteristic, graphs on non-orientable surfaces, graphs on tori, vertex and edge-transitive graphs on surfaces, graphs on surfaces of genus greater than one.