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Science版 - Is this a NP-complete problem?
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两堆石子问题感谢大家对sub题的踊跃回答
相关话题的讨论汇总
话题: np话题: denoted话题: complete话题: digraph话题: problem
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1 (共1页)
c*x
发帖数: 555
1
An airline network is represented by a weighted digraph G=(V,E) in which
airports are denoted by vertices, flight legs are denoted by edges, and flight
time (or geological distance) is denoted by a weight. Suppose that the airline
company wants to establish k repair facilities at certain airports so that
every airport can receive repair service reasonably. The distance d(u,v) from
vertex u to vertex v is defined as the length of a shortest path from u to v
on G.
Input:
weighted digraph G=(V,E)
p
c*x
发帖数: 555
2
Yeah they are similar. The only difference is "facility location problem"
http://www.ms.ic.ac.uk/jeb/or/facloc.html asks for minimum TOTAL cost
of serving all, while this one asks if each service cost is less than a
threshhold D.
Here's a very good summary for NP-complete problem feature and proof.
I wonder if I can use the 3rd proof method there:
(

Method #3 (restriction; simple but not always available to all problems)
(a) P is in NP.
(b) Find a special case of P is in NP-Complete.
Ex
k**y
发帖数: 320
3
这是一个成题,结论早就有了。希望下面的LINK对你有帮助。
http://www.nada.kth.se/~viggo/wwwcompendium/node132.html

G
and
E?
with
that
to

【在 c*x 的大作中提到】
: Yeah they are similar. The only difference is "facility location problem"
: http://www.ms.ic.ac.uk/jeb/or/facloc.html asks for minimum TOTAL cost
: of serving all, while this one asks if each service cost is less than a
: threshhold D.
: Here's a very good summary for NP-complete problem feature and proof.
: I wonder if I can use the 3rd proof method there:
: (
:
: Method #3 (restriction; simple but not always available to all problems)
: (a) P is in NP.

1 (共1页)
进入Science版参与讨论
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Re: 问个数学问题两堆石子问题
Re: edge 在数学中 是什么意思?一个数学题
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Re: A graph problem[转载] Re: 请教一个排列问题
Re: A real analysis problem, one solution.A simpler solution Re: [转载] 概率难题
相关话题的讨论汇总
话题: np话题: denoted话题: complete话题: digraph话题: problem