I would like to know if you can give some advices of books with relation of Graph Theory and Topology. When I search in Google, I only find some articles with very hard theory, and i am looking for an introduction. Thanks.
2026-03-26 16:56:43.1774544203
Suggestion of books of Topology and Graph Theory
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There is no such book that I know of, and I can the subject matter would not be very broad: We can see a (finite) graph as a simplicial space, a glueing together of copies of $[0,1]$ at a skeleton of isolated points. The only topological questions I know of here, is embedding it into $\mathbb{R}^2$ or $\mathbb{R}^3$: they all can be embedded in the latter, the planar ones in the former, and we have Kuratowski's criterion for that, and many others.
Also some algebraic topology books compute homology groups of such "graph spaces", as a nice application of general theorems.
I cannot really think of other areas of overlap, off hand. Maybe others can add some ideas as well.