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Thread: Dual graph

  1. #1
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    Dual graph

    Draw the dual graph for the following graph.

    Dual graph-dual.png
    ok my answer is
    Dual graph-44_0-1-.jpg
    somethings telling me I stuffed up....
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  2. #2
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    Re: Dual graph

    Quote Originally Posted by bee77 View Post
    Draw the dual graph for the following graph.
    Click image for larger version. 

Name:	dual.PNG 
Views:	15 
Size:	5.7 KB 
ID:	38057
    ok my answer is
    Click image for larger version. 

Name:	44_0(1).jpg 
Views:	15 
Size:	71.6 KB 
ID:	38058
    Dual graph-p14.gif
    Thanks from bee77
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  3. #3
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    Re: Dual graph

    Call your first graph G and the dual G*.

    G has 6 vertices; this means there will be 6 faces in G*.

    G has 4 faces; this means there will be 4 vertices in G*.

    G has 8 edges; this means there will be 8 edges in G*.
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    Re: Dual graph

    Need some practice with these thanks all
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  5. #5
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    Re: Dual graph

    Quote Originally Posted by bee77 View Post
    Need some practice with these thanks all
    You also need to tell us what definition of duel your course is using.
    I am sitting here looking at a self of some eight textbooks commonly used in North America. Each of those define the duel of a simple planar graph as the vertex set is the set of faces and an edge means the faces share a boundary edge.
    I have discovered that a somewhat different definition in use in the European sphere of influence. You seem to be using that definition.
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  6. #6
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    Re: Dual graph

    Hey Plato here's the snipping from the lecture slides we use .
    Dual graph-dual-graph.png

    I'm not to sure to be honest as our class has just been introduced to these so I just drew what I thought ...
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