Question

A 1989 paper by Jerrum and Sinclair reduces a problem about finding these things to ferromagnetic instances of the Ising model to show that finding the partition function of the latter is #P-complete. A poly-time approximation ratio of 0.878 achieved by the Goemans-Williamson algorithm for a problem about these things is optimal only if the unique game conjecture holds. The size of one type of these things is equal to the total number of disjoint paths by Menger’s (-5[1])theorem. The Stoer-Wagner algorithm finds one of these things for (*) undirected (10[1])graphs recursively, while Karger’s algorithm computes it probabilistically. The “minimum” (-5[1])one of these things can be produced from the (10[1])Ford-Fulkerson (-5[2])algorithm via a namesake theorem that relates it to the maximum flow. (10[1])For 10 points, name these partitions of a graph into two disjoint subsets of (10[1])vertices. ■END■ (10[1])

ANSWER: graph cuts [or graph partitions until read; accept separating set; accept max(imum) cut; accept min(imum) cut; accept s-t cut; accept max-flow-min-cut]
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PlayerTeamOpponentBuzz PositionValue
Henry CafaroThe Love Song of J Alfred PrufRock and Roll All Nite (and Party Every Day)BHSU Rebirth77-5
Matt BollingerBHSU ReFantazioWho is the Colleen Hoover of the Zulus?8810
Jeremy CummingsWashUMusic to Help You Stop Smoking98-5
Leo TaoClown SquadThat Feeling When Knee Surgery Is in Five Days10710
Zach JosephNotre DameClown Senpais108-5
Jacob PuthipirojNortheast by Northwesternhawk two of108-5
Billy BusseBHSU RebirthThe Love Song of J Alfred PrufRock and Roll All Nite (and Party Every Day)12010
Dan Nihawk two ofNortheast by Northwestern13410
Andrew HunterMusic to Help You Stop SmokingWashU13610

Summary

2024 ARGOS @ Stanford02/22/2025Y3100%0%67%122.67
2024 ARGOS @ Brandeis03/22/2025Y3100%33%33%96.67
2024 ARGOS Online03/22/2025Y333%0%100%119.00
2024 ARGOS @ Chicago11/23/2024Y683%0%67%117.00
2024 ARGOS @ Columbia11/23/2024Y30%0%100%0.00
2024 ARGOS @ Christ's College12/14/2024Y367%33%33%80.00