Integer Programming and Computational Social Choice 24/25

data what was taught [resources]
17. 2. Fixed dimension IPs, birds-eye overview of iterative augmentation. [LN 1-2]
24. 2. Iterative augmentation: Graver basis, positive sum property [LN 3, until Prop 6]
3. 3. Iterative augmentation: convergence, (AugIP), feasibility [LN 3, until end of 3.1]
10. 3. Steinitz Lemma, basic $g_1(A)$ bound, sketch of extension to $n$-folds. [LN 3, until Thm 17]
17. 3. Basic (AugIP) DP, DP for $n$-folds [LN 3, until Lemma 19]
24. 3. Klein's lemma and $2$-stage norm bound, $2$-stage branching [LN 3.5]
31. 3. Extensions: proximity theorems, coefficient reduction, strongly-poly algorithms, sensitivity [LN 4 + 5]
7. 4. Intro to voting: election, voting rule, some examples (czech notes); YoungScore and DodgsonScore as fixed-dimension ILPs (double-exponential algorithm), and as few rows / $n$-fold ILPs (single-exponential algorithm). DodgsonScore is the same thing as unit cost Condorcet-Swap Bribery.
14. 4. Bribery and manipulation actions as moves in societies, various voting rules, FPT algorithms. arxiv
21. 4. Cancelled - Easter Monday
28. 4. Presburger Arithmetic, Cooper's Algorithm, and Multi-party Campaigning arxiv
5. 5. Opinion Diffusion JLogCom
13. 5. Fine-grained liquid democracy for cummulative ballots arxiv

Resources:

Eventually (😅😅😅) I will post lecture notes here.