Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fast Distributed Algorithms for Testing Graph Properties   We initiate a thorough study of \emph{distributed property testing} --
producing algorithms for the approximation problems of property testing in the
CONGEST model. In particular, for the so-called \emph{dense} testing model we
emulate sequential tests for nearly all graph properties having $1$-sided
tests, while in the \emph{sparse} and \emph{general} models we obtain faster
tests for triangle-freeness and bipartiteness respectively.
  In most cases, aided by parallelism, the distributed algorithms have a much
shorter running time as compared to their counterparts from the sequential
querying model of traditional property testing. The simplest property testing
algorithms allow a relatively smooth transitioning to the distributed model.
For the more complex tasks we develop new machinery that is of independent
interest. This includes a method for distributed maintenance of multiple random
walks.

5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
2
The categories of this paper are: math
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas