Math Club – November

Math Club – November

DIY Challenge 4

In the graphs, you see a number written at each vertex. It shows the number of total connections at that point.
Some of the these are possible and some are not possible according to the rules we had.

You have 2 tasks now.

1. For the graphs in the previous challenge, write the number of connections at each vertex.

2. After you do the above, using all the examples we have now, do you observe a pattern or a rule which can directly tell us whether a path is possible or not?
What is special above some graphs that make them impossible to draw?