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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.

11 votes
Accepted

"The" random tree

I learned about The random graph a week ago from the blog post on n-cafe (thanks to Andrew and sdcvvc for the links!). Your construction, while slightly different, can be examined in the same way as …
Ilya Nikokoshev's user avatar
7 votes
2 answers
1k views

How unhelpful is graph minors theorem?

A very interesting Robertson-Seymour (graphs minors) theorem says: Any infinite collection of graphs $C$ with the property that if $G\in C $ then its minors also are has the form $\{$graphs $G$ th …
Ilya Nikokoshev's user avatar
2 votes

Interesting families of sparse graphs?

You need examples, right? Internet, local networks, social connections :)
Ilya Nikokoshev's user avatar