Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Shortest Paths in Less Than a Millisecond   We consider the problem of answering point-to-point shortest path queries on
massive social networks. The goal is to answer queries within tens of
milliseconds while minimizing the memory requirements. We present a technique
that achieves this goal for an extremely large fraction of path queries by
exploiting the structure of the social networks.
  Using evaluations on real-world datasets, we argue that our technique offers
a unique trade-off between latency, memory and accuracy. For instance, for the
LiveJournal social network (roughly 5 million nodes and 69 million edges), our
technique can answer 99.9% of the queries in less than a millisecond. In
comparison to storing all pair shortest paths, our technique requires at least
550x less memory; the average query time is roughly 365 microseconds --- 430x
faster than the state-of-the-art shortest path algorithm. Furthermore, the
relative performance of our technique improves with the size (and density) of
the network. For the Orkut social network (3 million nodes and 220 million
edges), for instance, our technique is roughly 2588x faster than the
state-of-the-art algorithm for computing shortest paths.

13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
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The categories of this paper are: stat
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom
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The categories of this paper are: funct-an
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The categories of this paper are: hep-th
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The categories of this paper are: econ