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Enumerative combinatorics, graph theory, order theory, posets, matroids, designs and other discrete structures. It also includes algebraic, analytic and probabilistic combinatorics.

3 votes

Interesting and accessible topics in graph theory

This is probably not what you're looking for, but if I were teaching such a course I'd focus on the interplay between algorithms for various graph problems and the more traditional mathematical approa …
2 votes

Greedy approach to 0-1 Knapsack problem in specific instances

As Frederico has already shown, this isn't enough to make the greedy heuristic immune to counterexamples. It's worth mentioning that there is a simple dynamic programming algorithm for the knapsack …
Brian Borchers's user avatar