Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pursuit on a Graph under Partial Information from Sensors   We consider a class of pursuit-evasion problems where an evader enters a
directed acyclic graph and attempts to reach one of the terminal nodes. A
pursuer enters the graph at a later time and attempts to capture the evader
before it reaches a terminal node. The pursuer can only obtain information
about the evader's path via sensors located at each node in the graph; the
sensor measurements are either green or red (indicating whether or not the
evader has passed through that node). We first show that it is NP-hard to
determine whether the pursuer can enter with some nonzero delay and still be
guaranteed to capture the evader, even for the simplest case when the
underlying graph is a tree. This also implies that it is NP-hard to determine
the largest delay at which the pursuer can enter and still have a guaranteed
capture policy. We further show that it is NP-hard to approximate (within any
constant factor) the largest delay at which the pursuer can enter. Finally, we
provide an algorithm to compute the maximum pursuer delay for a class of
node-sweeping policies on tree networks and show that this algorithm runs in
linear-time for bounded-degree trees.

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The categories of this paper are: quant-ph
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The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
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The categories of this paper are: patt-sol
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The categories of this paper are: cond-mat
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The categories of this paper are: bayes-an