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math.CO2011
On a Conjecture of Butler and Graham
Tengyu Ma, Xiaoming Sun, Huacheng Yu
Motivated by a hat guessing problem proposed by Iwasawa \cite{Iwasawa10}, Butler and Graham \cite{Butler11} made the following conjecture on the existence of certain way of marking…
math.CO2011
A New Variation of Hat Guessing Games
Tengyu Ma, Xiaoming Sun, Huacheng Yu
Several variations of hat guessing games have been popularly discussed in recreational mathematics. In a typical hat guessing game, after initially coordinating a strategy, each of…