Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact alignment recovery for correlated Erd\H{o}s-R\'enyi graphs   We consider the problem of perfectly recovering the vertex correspondence
between two correlated Erd\H{o}s-R\'enyi (ER) graphs on the same vertex set.
The correspondence between the vertices can be obscured by randomly permuting
the vertex labels of one of the graphs. We determine the information-theoretic
threshold for exact recovery, i.e. the conditions under which the entire vertex
correspondence can be correctly recovered given unbounded computational
resources.

20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci