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

**Specificity:**The conjecture should be stated clearly. Â 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). Â*A reader should be able to tell from the statementÂ 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:**Â 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.

GROUP CONJECTURES SUBMITTED AT END OF CLASS TODAY:

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