Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

System minimal paths and cuts

  1. Mar 3, 2012 #1
    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
    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.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook