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Math Help - A simple graph

  1. #1
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    A simple graph

    Hi all

    1. Draw a simple graph with 5 vertices and exactly
    a) one simple circuit
    b) three simple circuits
    c) six simple circuits
    (b) Prove that if G is bipartite then every cycle in G has even length.

    Thank you
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  2. #2
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    Quote Originally Posted by Snowboarder View Post
    1. Draw a simple graph with 5 vertices and exactly
    b) three simple circuits

    (b) Prove that if G is bipartite then every cycle in G has even length.
    Think about \mathcal{K}_{2,3}
    Last edited by Plato; October 1st 2009 at 12:55 PM.
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