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 (15[2])chi, for which Hadwiger’s (15[1])conjecture states that chi equals t (15[1])implies a K-t minor. As this process amounts to a partition into independent sets, a value of 2 for that quantity implies (10[2])(*) bipartiteness. A conjecture (-5[1])about this process was resolved using (10[1])discharging in a controversial (10[1])computer-assisted proof by (10[4])Appel and Haken. For 10 points, what (10[1])process may be done using at most four (10[6])labels without any (10[1])adjacency (10[4])conflicts, according to a namesake theorem about planar maps? ■END■

ANSWER: graph coloring [accept anything that describes determining the chromatic number; accept vertex coloring; accept edge coloring]
<Science - Other Science>
= Average correct buzz position

Summary

2024 Booster Shot (Columbia)02/23/2024Y6100%0%0%115.00
2024 Booster Shot (Waterloo)02/23/2024Y4100%0%0%94.25
2024 Booster Shot (Vanderbilt)03/02/2024Y4100%25%0%101.75
2024 Booster Shot (Great Lakes)03/09/2024Y7100%43%14%89.43
2024 Booster Shot (WUSTL)03/09/2024Y3100%0%0%114.33

Buzzes

PlayerTeamOpponentBuzz PositionValue
Leo TaoMichigan CCase Western5515
Leo TaoMichigan CCase Western5515
Pranav SivaramOhioWUSTL5915
Jeremy CummingsWUSTLGeorgia Tech B6515
James Ah YongWaterloo BustToronto Sprout8710
Liam KusalikWaterloo CaliToronto Penguin World War8710
Teigue KellyPenn State AIowa90-5
Matthew SiffYaleLehigh A9610
Kunaal ChandrashekarToronto cDNAOttawa10010
Dennis YangMichigan AOhio State10310
Jack LewisMTSUGeorgia Tech C10310
Fred GarveyTruman StateSquidward Community College10310
Tony ChenToronto Tony Jingyu Chen eats quizbowlToronto Pilk10310
Sam MacchiVassarPenn State B11010
Austin GuoPrincetonColumbia B11810
Kushal AluruRutgersGatherer11810
Eshan PantNYU ABard11810
Mihir ShettyColumbia CNYU B11810
Kevin ParkClaremontBelmont11810
Amith PunyalaWUSTL AWUSTL C11810
Gavin MarkoffVanderbilt AUSN A12110
Derek ChenColumbia ANYU C12210
Kevin ZhengMichigan BNorth Carolina12210
Charles SchmelzerIowaPenn State A12210
Sebastian PujetWUSTL JSIUE12210