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Enumerative combinatorics, graph theory, order theory, posets, matroids, designs and other discrete structures. It also includes algebraic, analytic and probabilistic combinatorics.

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 …
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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 …
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  • 828