Results 1 to 3 of 3

Math Help - Sorting Problem

  1. #1
    Newbie
    Joined
    Nov 2008
    Posts
    11

    Sorting Problem

    Show that in a group of 5 people (where any 2 people or either friends or
    enemies), there are not necessarily 3 mutual friends or 3 mutual enemies.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member
    Joined
    Nov 2008
    Posts
    461
    Quote Originally Posted by dh214 View Post
    Show that in a group of 5 people (where any 2 people or either friends or
    enemies), there are not necessarily 3 mutual friends or 3 mutual enemies.

    Seems to be this problem:
    Pigeonhole principle - Wikipedia, the free encyclopedia
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,605
    Thanks
    1573
    Awards
    1
    Quote Originally Posted by dh214 View Post
    Show that in a group of 5 people (where any 2 people or either friends or enemies), there are not necessarily 3 mutual friends or 3 mutual enemies.
    This question hinges upon that word “mutual”.
    To show this, find a graph of order five having the property that neither the graph nor its complement contains a triangle.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Sorting With Restrictions
    Posted in the Discrete Math Forum
    Replies: 5
    Last Post: March 21st 2010, 11:00 AM
  2. Question on algorithm (Sorting)
    Posted in the Discrete Math Forum
    Replies: 3
    Last Post: January 26th 2009, 08:35 AM
  3. Fastest sorting algorithm
    Posted in the Discrete Math Forum
    Replies: 18
    Last Post: April 7th 2008, 08:31 PM
  4. sorting algorithm
    Posted in the Advanced Math Topics Forum
    Replies: 2
    Last Post: November 26th 2007, 07:12 AM

Search Tags


/mathhelpforum @mathhelpforum