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System minimal paths and cuts

  1. Mar 3, 2012 #1
    Hi,
    please I need help with finding the minimal paths and cuts of the attached figure.

    Here for the cuts I found: {1,6}, {7,3}, {6,4,2}, {2,5,7}
    for the paths I get: {6,7},{1,2,3},{1,2,5,7},{1,4,7}
    Do i miss some paths or cut please?

    Also i cannot find the an expression for the structure function, using minimal paths and cuts.

    Thank you
     

    Attached Files:

  2. jcsd
  3. Mar 3, 2012 #2
    I am pretty sure there should be ten paths. What do the labels mean? Are they just labels for the edges or distances?
     
  4. Mar 3, 2012 #3
    hi,
    the labels are components of the system with their logical connections. how do you know , i need to have 10 paths?
     
  5. Mar 4, 2012 #4
    The graph is strongly connected, there is a path between each two vertices. There are five vertices, so there are 4 paths from an arbitrary vertex to another (not including paths to itself), then from another arbitrary vertex there are 3 paths to other vertices not including the first counted path, etc. 4+3+2+1= 10.
     
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