Just some random stuff
Fixing some graph issues

Markers and legends are fixed for the real results. Also, changed the
real data graphs so that the lines are different methods and the graphs
are for fixed a. Finally, took off “c” from the y-axis in two of the
simulated results graphs.
Sampling exposition

Fixed the exposition the way we agreed to. Hallmarks include

— Mention sampling with replacement
— Removing unnecessary vestigial parts from the proof that only confuse
— More handholding during the proof
Cite Hopcroft-Karp and recompile
Greedy exposition

Such clarity. Amazing result. Wow.