I think there is a 4^k kernel for TSP ..

On Sat, Mar 14, 2009 at 4:49 PM, Miroslav Balaz <gpsla...@googlemail.com>wrote:

> I don't know any concrete real life problem, of course everyting real life
> problem that is in NP can be reducet to this problem.
> That includes timetable sheduling. | think there is no such problem in
> networks, because you need to know topology ad it has to be fixed. And if
> you want to make multicast, than it is faster if you do it in parallel way.
> There is still to few people in this group, you should encourage more people
> to yoin, if you want it to be usefull.
>
> The metric TSP is somewhat approximable, and euclidean has PTAS
>
> 2009/3/14 Amina Maarouf <amina.maar...@gmail.com>
>
> 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
>>>>>>
>>>>>>
>>>>>>
>>>>>>
>>>>>>
>>>>>
>>>>>
>>>>>
>>>>>
>>>>
>>>
>>>
>>>
>>
>>
>>
>
> >
>


-- 
Ciao,
Ajinkya

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