I found a number of real life applications for the problem, like garbage
collection, a version of postman problem, gas system construction.. I am
looking for applications for the problem in networks, if any one can help.

On 3/14/09, Miroslav Balaz <gpsla...@googlemail.com> wrote:
>
>
> NP what?
> 2009/3/13 Amina Maarouf <amina.maar...@gmail.com>
>
>> this problem was proved to be NP in a conference paper published recently.
>>
>>
>>
>> On Fri, Mar 13, 2009 at 10:44 AM, Miroslav Balaz <gpsla...@googlemail.com
>> > wrote:
>>
>>> maybe you are not wrong. but with high probability  you are wrong. In
>>> general case, this problem cannot ba approximated for any polynomialy
>>> computable function f.
>>> You can tell me the algorithm
>>> or give me reason why trirvial reduction from TSP does not work here?
>>>
>>> 2009/3/13 Ajinkya Kale <kaleajin...@gmail.com>
>>>
>>> If i am not wrong there is a parameterized algorithm for this which is in
>>>> P
>>>>
>>>> On Fri, Mar 13, 2009 at 3:40 AM, Miroslav Balaz <
>>>> gpsla...@googlemail.com> wrote:
>>>>
>>>>> Ok this is NP-comlete... so no fast algorithm is known........
>>>>>
>>>>> 2009/3/12 Amina Maarouf <amina.maar...@gmail.com>
>>>>>
>>>>>  Dear All;
>>>>>>
>>>>>> I need some help on the following problem:
>>>>>>
>>>>>> Given a weighted graph ( v, e) and a set of marked vertices v' subset
>>>>>> to v and a source node n. Find a cycle to that visits all vertices in v' 
>>>>>> and
>>>>>> returns to n, such that the total cost is minimum.
>>>>>>
>>>>>> if anyone has ideas of algorithms, or applications that may map to
>>>>>> this problem, it will be a great help to me.
>>>>>>
>>>>>> thanks
>>>>>>
>>>>>> amiiina
>>>>>>
>>>>>>
>>>>>>
>>>>>
>>>>>
>>>>>
>>>>>
>>>>
>>>>
>>>>
>>>> --
>>>>
>>>> Ciao,
>>>> Ajinkya
>>>>
>>>>
>>>>
>>>>
>>>>
>>>
>>>
>>>
>>>
>>
>
> >
>

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