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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.

3 votes
1 answer
1k views

Is there a promise version of 3-coloring equivalent to Graph Isomorphism?

The discussion at Decision problem restricted to inputs that satisfy some necessary condition. got me thinking about specific promises on a graph that would reduce the complexity of the coloring probl …
Steven Stadnicki's user avatar
3 votes
1 answer
108 views

Has this random process been studied on grid graphs?

As an offshoot of a different discussion I got curious about (uniform) random spanning trees on grid graphs (torus graphs in particular, to avoid having to think about edge effects) and what their dia …
Steven Stadnicki's user avatar
0 votes

What is the proper name for this "tersest path" problem in Infinite Craft?

I am embarrassed not to have recognized this sooner, but a 'canonical' structure that models Infinite Craft is the Commutative Magma — definitionally, a set $S$ with a binary operation $\oplus$ that i …
Steven Stadnicki's user avatar