Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spanning trees in random series-parallel graphs   By means of analytic techniques we show that the expected number of spanning
trees in a connected labelled series-parallel graph on $n$ vertices chosen
uniformly at random satisfies an estimate of the form $s \varrho^{-n}
(1+o(1))$, where $s$ and $\varrho$ are computable constants, the values of
which are approximately $s \approx 0.09063$ and $\varrho^{-1} \approx 2.08415$.
We obtain analogue results for subfamilies of series-parallel graphs including
2-connected series-parallel graphs, 2-trees, and series-parallel graphs with
fixed excess.

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The categories of this paper are: mtrl-th
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The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
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The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-ex
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The categories of this paper are: cond-mat
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The categories of this paper are: q-bio
3
The categories of this paper are: physics
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The categories of this paper are: q-alg
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The categories of this paper are: eess
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The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph