I like graph theory a lot (even though my prof in uni was horrible at teaching it). One thing I like about it is at least we can easily visualize most graphs, as opposed to say, n-dimensional spaces from real analysis. I also like that coloring vertices is a thing, and that so many problems can be represented by graphs and we can apply so many graph algorithms on top of those graph representations.

One thing that always makes me laugh though is the terminology in math. Things like "hypercube" just get a chuckle out of me.

I didn't know what the sensitivity conjecture is but your explanation using coloring a graph is very straightforward.