Also not sure graphs are a "branch" of mathematics, that would be like saying polygons are a "branch" of mathematics. (Branches would be like CA, AT, DG, ... as in http://arxiv.org/list/math/recent.) I see graphs as just a common object that relates to a variety of mathematical areas.
> For graph colouring I think the right WP link
> is Ramsey theory.
> Also not sure graphs are a "branch" of mathematics, ...
> I see graphs as just a common object that relates
> to a variety of mathematical areas.
Sets and Algebra, I can teach as a homeschool dad. Group theory, topology, and abstract algebra are to difficult for me.
I don't think this is intrinsic. Lots of Rosen is hard for me.I suspect Smaullyan's math logic book coming out this Summer will be transparent(Euler diagrams alone make it clearer). Likewise, lots of Stewarts Calc is obscure. Yet, strangely Spivak's Calc is clear and simple. I suspect there are similar resources for abstract algebra and topology.. I assume that I will have worked through baby Rudin before DS finishes highschool... however, there must be a more direct, less abstract path.