Results 1 to 2 of 2

Math Help - Cutsets in graph theory.

  1. #1
    Junior Member
    Joined
    Jun 2007
    Posts
    37

    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
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Junior Member
    Joined
    Jun 2007
    Posts
    37
    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.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Graph Theory / Chromatic Number of a Complete Graph
    Posted in the Discrete Math Forum
    Replies: 1
    Last Post: November 15th 2011, 09:59 AM
  2. (Graph Theory)Prove that graph X is a tree.
    Posted in the Discrete Math Forum
    Replies: 1
    Last Post: August 1st 2011, 03:30 AM
  3. Replies: 0
    Last Post: September 25th 2010, 05:59 AM
  4. Graph Theory - Size of a Line Graph
    Posted in the Discrete Math Forum
    Replies: 1
    Last Post: July 25th 2010, 11:15 PM
  5. Homeomorphisms and cutsets
    Posted in the Differential Geometry Forum
    Replies: 1
    Last Post: April 8th 2009, 09:43 PM

Search Tags


/mathhelpforum @mathhelpforum