Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Loebl-Komlos-Sos Conjecture: dense case   We prove a version of the Loebl-Komlos-Sos Conjecture for dense graphs. For
each q>0 there exists a number $n_0\in \mathbb{N}$ such that for any n>n_0 and
k>qn the following holds: if G be a graph of order n with at least n/2 vertices
of degree at least k, then any tree of order k+1 is a subgraph of G.

21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
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The categories of this paper are: nucl-th