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Results tagged with asymptotics
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user 4558
Asymptotic behavior of functions, asymptotic series and related topics
7
votes
1
answer
1k
views
How does the number of trees on $n$ vertices *up to isomorphism* grow as $n \to \infty$?
But what are the sharpest asymptotics, or best upper and lower bounds known, as $n \to \infty$?
Has anyone studied the number of homeomorphism types of trees on $n$ vertices? … Again, I don't expect an exact answer, and am mostly interested in the asymptotics as $n \to \infty$. …
- 24.2k
7
votes
2
answers
211
views
Estimating the number of functions which are at most $c$-to-$1$ for some constant $c \ge 2$
I don't expect that there is an exact formula, and I am more interested in the asymptotics. …
- 37.7k
16
votes
2
answers
2k
views
How many triangulations of the genus $g$ surface on $n$ vertices?
By "a triangulation of $X$", I mean a simplicial complex whose geometric realization is homeomorphic to $X$. Tutte showed that the number of combinatorially distinct triangulations $t(n)$ of the $2$-d …
- 151k