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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.

13 votes

Is there a "knot theory" for graphs?

whether there is a "knot theory" for graphs... or can it be essentially reduced to the study of knots (and links)? As Dror Bar-Natan points out in his interesting answer, it can, "if you totally und …
Sergey Melikhov's user avatar
8 votes

What is a continuous path?

The technique/framework mentioned by Jim Conant and used by Berestovskii and Plaut goes back to the paper J. Krasinkiewicz and P. Minc, Generalized paths and pointed 1-movability, Fundamenta Mathemat …
Sergey Melikhov's user avatar
4 votes
Accepted

When are nontopological bistellar flips manifold-preserving?

By a topological (2,2)-flip Dougherty, Faber, and Murphy mean a bistellar move on 2-manifolds (and not on 3-manifolds). So it looks like the example on a 3-simplex, a (2,2) non-topological flip w …
Sergey Melikhov's user avatar