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Math Help - Vertices and Edges

  1. #1
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    Vertices and Edges

    Another question that is troubling me is (in bold):

    Is it possible to draw a connected graph with 14 vertices and 12 edges? Explain.

    I have come up with the answer no, but wanted some input on how to explain this reason.

    Thanks.
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  2. #2
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    For a graph with n vertices to be connected it must have at least n-1 edges.
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  3. #3
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    Thank you

    Thanks for your help!
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