optimal way in graph? - Graphics

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optimal way in graph?

  1. Default optimal way in graph?

    want to find a way from a start vertice to visit the other vertices in
    a graph.
    constraints:
    1. a way with min. edges
    2. need not to visit all the vertices of this graph, but the unvisit
    vertices should have max. 2 edges to one of the visited vertices on
    this way


  2. Default Re: optimal way in graph?

    CC.TUDresden@gmail.com schrieb:
    > want to find a way from a start vertice to visit the other vertices in
    > a graph.
    > constraints:
    > 1. a way with min. edges

    This ist the travelling salesman problem which is NP complete. Look at
    http://www.ameisenalgorithmus.de/
    > 2. need not to visit all the vertices of this graph, but the unvisit
    > vertices should have max. 2 edges to one of the visited vertices on
    > this way
    >


  3. Default Re: optimal way in graph?


    Steffen Koehler 写道:

    > CC.TUDresden@gmail.com schrieb:
    > > want to find a way from a start vertice to visit the other vertices in
    > > a graph.
    > > constraints:
    > > 1. a way with min. edges

    > This ist the travelling salesman problem which is NP complete. Look at
    > http://www.ameisenalgorithmus.de/
    > > 2. need not to visit all the vertices of this graph, but the unvisit
    > > vertices should have max. 2 edges to one of the visited vertices on
    > > this way
    > >


    but this is not a salesman problem, while the vertices can be visited
    many times, and the edges have the same length, the vertices can only
    visit its neighbor vertices


  4. Default Re: optimal way in graph?

    <CC.TUDresden@gmail.com> wrote in message
    news:1156506126.828145.166490@m79g2000cwm.googlegroups.com...

    > but this is not a salesman problem, while the vertices can be visited
    > many times, and the edges have the same length, the vertices can only
    > visit its neighbor vertices


    Is it a special tree you are trying to build?



  5. Default Re: optimal way in graph?


    Uffe Kousgaard 写道:

    > <CC.TUDresden@gmail.com> wrote in message
    > news:1156506126.828145.166490@m79g2000cwm.googlegroups.com...
    >
    > > but this is not a salesman problem, while the vertices can be visited
    > > many times, and the edges have the same length, the vertices can only
    > > visit its neighbor vertices

    >
    > Is it a special tree you are trying to build?


    it is a ad-hoc network, like a mesh topology. e.g.the salesman visits a
    vercites 4 edges away, he must travel through 3 vertices, can not
    direct visit the distination


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