Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Turan number of forests   The Turan number of a graph H, ex(n,H), is the maximum number of edges in a
graph on n vertices which does not have H as a subgraph. We determine the Turan
number and find the unique extremal graph for forests consisting of paths when
n is sufficiently large. This generalizes a result of Bushaw and Kettle [
Combinatorics, Probability and Computing 20:837--853, 2011]. We also determine
the Turan number and extremal graphs for forests consisting of stars of
arbitrary order.

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The categories of this paper are: eess
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
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The categories of this paper are: stat
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex
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The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph