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Bard College

Senior Projects Fall 2016

Graph Theory

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Exploring Tournament Graphs And Their Win Sequences, Sadiki O. Lewis Jan 2016

Exploring Tournament Graphs And Their Win Sequences, Sadiki O. Lewis

Senior Projects Fall 2016

In this project we will be looking at tournaments on graphs and their win sequences. The main purpose for a tournament is to determine a winner amongst a group of competitors. Usually tournaments are played in an elimination style where the winner of a game advances and the loser is knocked out the tournament. For the purpose of this project I will be focusing on Round Robin Tournaments where all competitors get the opportunity to play against each other once. This style of tournaments gives us a more real life perspective of a fair tournament. We will model these Round …