Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weighted Regularity Lemma with Applications   We prove an extension of the Regularity Lemma with vertex and edge weights
which can be applied for a large class of graphs. The applications involve
random graphs and a weighted version of the Erd\H{o}s-Stone theorem. We also
provide means to handle the otherwise uncontrolled exceptional set.

19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat