Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Large joints in graphs   We show that if G is a graph of sufficiently large order n containing as many
r-cliques as the r-partite Turan graph of order n; then for some C>0 G has more
than Cn^(r-1) (r+1)-cliques sharing a common edge unless G is isomorphic to the
the r-partite Turan graph of order n. This structural result generalizes a
previous result that has been useful in extremal graph theory.

34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin