Capstone: Networks

Step back and look at what you have built. Dots and lines became degrees and the Handshake Lemma. Routes became paths, cycles, and connectedness. Loop-free connection became trees. Labelling became coloring. Weighted edges became shortest paths, and growth rates became Big-O. Now watch them snap together — because the largest machines humanity has ever built, the internet and the networks living on top of it, are nothing but enormous graphs with these exact ideas humming inside them.