In a certain kind of tournament, every player plays every other player exactlyonce and

Chapter 2, Problem 13

(choose chapter or problem)

In a certain kind of tournament, every player plays every other player exactlyonce and either wins or loses. There are no ties. Define a top player to be a playerwho, for every other player x, either beats x or beats a player y who beats x.(a) Show that there can be more than one top player.(b) Use the PMI to show that every n-player tournament has a top player

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