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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.

9 votes
1 answer
424 views

Hamiltonian circuit

Let us consider a disk with one labelled point on the boundary and $n$ labelled points in the interior. Let T be a triangulation of the whole disk with vertices on the labelled points such that T con …
2 votes
3 answers
3k views

Counting graphs up to isomorphism

I apologize if the questions are too elementary for the forum, but I am not an expert in this fields. How many (rooted or unrooted) binary trees with $n$ vertices are there up to isomorphism? How …