Assignment.  Your goal for today is to refine the conjecture you decided on during your last class meeting.  Some things to consider:

  • Specificity: The conjecture should be stated clearly.  It should include all information necessary to be understood by someone who is familiar with graph theory terms (vertex, edges, paths) and familiar with the assignment (walking tours).  A reader should be able to tell from the statement whether a conjecture applies to a given drawing or not.
  • Generality: Your conjecture should apply to more than just a single specific graph (it can apply to a collection of similar graphs, for example, as long as you describe exactly what types of graphs you are considering).
  • Drawing: You can create a drawing to accompany your conjecture, but your conjecture should be understandable without the picture.
  • You can revise your conjecture as a group if you wish – but try to come up with something similar.
  • You can add additional clarification to your conjecture.
  • You can extend your conjecture to include more types of graphs.



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