Question
Performing this process on the 2-dimensional plane is the subject of the Hadwiger-Nelson problem. Certain objects are partitioned into Class 1 and Class 2 by a variant of this process, according to Vizing’s Theorem. This process results in a value of delta-G in exactly 2 cases by Brooks’ Theorem. This process’s associated quantity is denoted chi, for which Hadwiger’s conjecture states that chi equals t implies a K-t minor. As this process amounts to a partition into independent sets, a value of 2 for that quantity implies (*) bipartiteness. A conjecture about this process was resolved using discharging in a controversial computer-assisted proof by Appel and Haken. For 10 points, what process may be done using at most four labels without any adjacency conflicts, according to a namesake theorem about planar maps? ■END■
Summary
2024 Booster Shot (Columbia) | 02/23/2024 | Y | 6 | 100% | 0% | 0% | 115.00 |
2024 Booster Shot (Waterloo) | 02/23/2024 | Y | 4 | 100% | 0% | 0% | 94.25 |
2024 Booster Shot (Vanderbilt) | 03/02/2024 | Y | 4 | 100% | 25% | 0% | 101.75 |
2024 Booster Shot (Great Lakes) | 03/09/2024 | Y | 7 | 100% | 43% | 14% | 89.43 |
2024 Booster Shot (WUSTL) | 03/09/2024 | Y | 3 | 100% | 0% | 0% | 114.33 |
Buzzes
Player | Team | Opponent | Buzz Position | Value |
---|---|---|---|---|
Leo Tao | Michigan C | Case Western | 55 | 15 |
Leo Tao | Michigan C | Case Western | 55 | 15 |
Pranav Sivaram | Ohio | WUSTL | 59 | 15 |
Jeremy Cummings | WUSTL | Georgia Tech B | 65 | 15 |
James Ah Yong | Waterloo Bust | Toronto Sprout | 87 | 10 |
Liam Kusalik | Waterloo Cali | Toronto Penguin World War | 87 | 10 |
Teigue Kelly | Penn State A | Iowa | 90 | -5 |
Matthew Siff | Yale | Lehigh A | 96 | 10 |
Kunaal Chandrashekar | Toronto cDNA | Ottawa | 100 | 10 |
Dennis Yang | Michigan A | Ohio State | 103 | 10 |
Jack Lewis | MTSU | Georgia Tech C | 103 | 10 |
Fred Garvey | Truman State | Squidward Community College | 103 | 10 |
Tony Chen | Toronto Tony Jingyu Chen eats quizbowl | Toronto Pilk | 103 | 10 |
Sam Macchi | Vassar | Penn State B | 110 | 10 |
Austin Guo | Princeton | Columbia B | 118 | 10 |
Kushal Aluru | Rutgers | Gatherer | 118 | 10 |
Eshan Pant | NYU A | Bard | 118 | 10 |
Mihir Shetty | Columbia C | NYU B | 118 | 10 |
Kevin Park | Claremont | Belmont | 118 | 10 |
Amith Punyala | WUSTL A | WUSTL C | 118 | 10 |
Gavin Markoff | Vanderbilt A | USN A | 121 | 10 |
Derek Chen | Columbia A | NYU C | 122 | 10 |
Kevin Zheng | Michigan B | North Carolina | 122 | 10 |
Charles Schmelzer | Iowa | Penn State A | 122 | 10 |
Sebastian Pujet | WUSTL J | SIUE | 122 | 10 |