Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Improved space-time tradeoffs for approximate full-text indexing with
  one edit error   In this paper we are interested in indexing texts for substring matching
queries with one edit error. That is, given a text $T$ of $n$ characters over
an alphabet of size $\sigma$, we are asked to build a data structure that
answers the following query: find all the $occ$ substrings of the text that are
at edit distance at most $1$ from a given string $q$ of length $m$. In this
paper we show two new results for this problem. The first result, suitable for
an unbounded alphabet, uses $O(n\log^\epsilon n)$ (where $\epsilon$ is any
constant such that $0<\epsilon<1$) words of space and answers to queries in
time $O(m+occ)$. This improves simultaneously in space and time over the result
of Cole et al. The second result, suitable only for a constant alphabet, relies
on compressed text indices and comes in two variants: the first variant uses
$O(n\log^{\epsilon} n)$ bits of space and answers to queries in time
$O(m+occ)$, while the second variant uses $O(n\log\log n)$ bits of space and
answers to queries in time $O((m+occ)\log\log n)$. This second result improves
on the previously best results for constant alphabets achieved in Lam et al.
(Algorithmica 2008) and Chan et al. (Algorithmica 2010).

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The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
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The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys