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POTransposing on a Directed Graph
 

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  1. POTransposing on a Directed Graph
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    <p>I've been assigned the following problem, but am having issues figuring it out. I know what I'd like to accomplish, but given the skeleton code he's outlined for us, I'm not sure where to start...I drew a pic to illustrate what I'd like to accomplish (I think...)</p> <p><a href="http://i802.photobucket.com/albums/yy304/Growler2009/Transposing-1.jpg" rel="nofollow">http://i802.photobucket.com/albums/yy304/Growler2009/Transposing-1.jpg</a></p> <p><strong>This is what I need to do:</strong></p> <p>Consider a directed graph G(V;A). The transpose of G written GT (V;AT ) is nothing more than G where all the arcs have been transposed, i.e., the origin of the arc becomes the end and the end becomes the origin. In a sense, GT is the \backward" version of G. For this question you must implement an algorithm which, given a directed graph, produces its transpose. The API of the algorithm is given by the following interface: </p> <pre><code>public interface Transpose&lt;VT,AT&gt; { public DIGraph&lt;VT,AT&gt; doIt(DIGraph&lt;VT,AT&gt; src); } </code></pre> <p>Implement the transpose algorithm given above. You have no restrictions on how to do this (except that it must operate on a graph represented as an adjacency list and it cannot modify the original graph. Report (in the comments) the space and time complexities in big O notation and brie y justify. (i.e., how long does it take and how much space does it uses to transpose a graph with n vertices and m arcs).</p> <p>Any help you can offer to get me started would be great.</p> <p>Thanks!</p>
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    1. COfair to assume this is homework?
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    2. CODo you have a class to represent the directed graph already? If not, how would you design one? What are the 'things' in a directed graph?
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      1. USTony Ennis
    3. CO@phatmanace: Yes, this is a homework assignment. I've been doing a lot of reading to get it done, but it's not working out... Am I not allowed to ask hw questions?
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