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math.CO2026
Thresholds for geometric graphs
Bhargav Narayanan
A metric probability space admits thresholds if the random geometric graph on has a threshold for every monotone graph property. We connect the existence of thresholds to t…
math.CO2026
How to pick your football team
Bhargav Narayanan
Team captains Alice and Bob divide up footballers, each reduced to a real-valued score, into two teams of footballers each. On each turn, one captain plays picker, and the…