Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Polylogarithmic-Time Deterministic Network Decomposition and Distributed
  Derandomization   We present a simple polylogarithmic-time deterministic distributed algorithm
for network decomposition. This improves on a celebrated $2^{O(\sqrt{\log
n})}$-time algorithm of Panconesi and Srinivasan [STOC'92] and settles a
central and long-standing question in distributed graph algorithms. It also
leads to the first polylogarithmic-time deterministic distributed algorithms
for numerous other problems, hence resolving several well-known and decades-old
open problems, including Linial's question about the deterministic complexity
of maximal independent set [FOCS'87; SICOMP'92]---which had been called the
most outstanding problem in the area.
  The main implication is a more general distributed derandomization theorem:
Put together with the results of Ghaffari, Kuhn, and Maus [STOC'17] and
Ghaffari, Harris, and Kuhn [FOCS'18], our network decomposition implies that
$$\mathsf{P}\textit{-}\mathsf{RLOCAL} = \mathsf{P}\textit{-}\mathsf{LOCAL}.$$
That is, for any problem whose solution can be checked deterministically in
polylogarithmic-time, any polylogarithmic-time randomized algorithm can be
derandomized to a polylogarithmic-time deterministic algorithm. Informally, for
the standard first-order interpretation of efficiency as polylogarithmic-time,
distributed algorithms do not need randomness for efficiency.
  By known connections, our result leads also to substantially faster
randomized distributed algorithms for a number of well-studied problems
including $(\Delta+1)$-coloring, maximal independent set, and Lov\'{a}sz Local
Lemma, as well as massively parallel algorithms for $(\Delta+1)$-coloring.

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The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
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The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
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The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
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The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org