It was late and rushed tonight, but I did manage to do some math with the kids. Actually, A was throwing fits, so I put her to bed. I had B working on the fact that if you have a connected graph on 5 vertices then there is a connected subgraph on 4. He worked out this conjecture himself, but doesn’t have any justification for it. I’m thinking he should develop the idea of a spanning tree, but I’m not sure how to nudge him in that direction. I guess I’ll have to think up an intermediate problem.

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