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Questions about the branch of combinatorics called graph theory (not to be used for questions concerning the graph of a function). This tag can be further specialized via using it in combination with more specialized tags such as extremal-graph-theory, spectral-graph-theory, algebraic-graph-theory, topological-graph-theory, random-graphs, graph-colorings and several others.

15 votes

Is there a "knot theory" for graphs?

Yes, there are many such results. Conway-Gordon, Sachs in the 80s proved that any map $K_6 \to R^3$ contains two disjoint linked traingles. Robertson-Seymour-Thomas proved found the family of minors …
Alfredo Hubard's user avatar
2 votes

Vector bundles on graphs

Have a look at this paper http://arxiv.org/abs/0912.4048 by Cappel and Miller, they called them "transmitions" and generalize some of the standard spectral graph theory. Well transmitions are more ge …
Alfredo Hubard's user avatar