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Thread: Cutsets in graph theory.

  1. October 23rd 2007, 04:25 AM #1
    le_su14
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    Cutsets and Cycles

    G=(V,E) is a connected graph.
    H\subset E. We suppose that for all C cutset the number of H\cap C is a even number.

    Prove that H is a cycle.
    Last edited by le_su14; October 25th 2007 at 06:04 AM. Reason: Make the question correct
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  2. October 25th 2007, 06:42 PM #2
    le_su14
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    C is a cutset if there's a X' \subset X so that
    C= w(X') = { e=(i,j) \in E | i \in X' and\ j \not \in X'},G - w(X') is connected and G - w isn't connected, \forall w \subset w(X')
    Last edited by le_su14; October 25th 2007 at 06:59 PM.
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