I actually did know some of these items, or at least the terms, previously but not in the sense that they were presented to us this week. I was familiar with vertices, edges, and the formal notation of a graph. I didn’t have an appreciation for how graphs could be applied to creating and managing associations with various items by applying them as vertices or edges in a way beyond their representation as numeric coordinates.
• What information was contrary to what you believed.
Another week of nothing being contrary, just new.
• How was the Discussion and /or assignment helpful in mastering new information?
Both the discussion posts and assignments were helpful. It made me think about how to analyze the problems we have previously been presented with the use of graphs. Particularly, the discussion posts made me appreciate some of the concepts that were a little more confusing, such as methods other than visual ones to determine non-planar graphs. I’m still having some difficulty in appreciating the determination of faces in a mathematical way but I can see how it can be determined what they “should” be.
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I actually found most everything we covered this week interesting. I was trying to figure out different things I might apply it to with what we have previously been exposed to. Similarly, to how it was presented for the bridge problem and people shaking hands in a room. I feel like these graph techniques could be used in a solving a lot of similar problems of association. I was also wondering about potential rules of Euler Circuit non-planar graphs. I was curious, based on what I presented in my discussion post, and K5, if there might be a consistent rule for making