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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.

12 votes

Are there graph models for other moduli spaces?

Outer automorphisms of free groups have a rational classifying space given by metric graphs, called "outer space," first described in a paper by Culler and Vogtmann. The rational cohomology of Out$(F …
Jim Conant's user avatar
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1 vote

Elegant representations of graphs in R^3

An idea that occurred to me, though I don't know how computationally feasible it is, is to insist all edges are of length one [Edit: this can't be done in general.], put a repelling charge on each ver …
Jim Conant's user avatar
  • 4,898
0 votes

What are the applications of hypergraphs?

I'll go ahead and plug a paper of mine in the hopes it will generate more interest in it, Boolean formulae, hypergraphs, and combinatorial topology which I wrote with my student Oliver Thistlethwaite …