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Tournaments occur all over the world and they are used to decide championships in various competitions. For this project, I will be exploring tournaments in the round robin style in which every team plays one another. This is based on Sadiki Lewis' senior project, Exploring Tournament Graphs and Their Win Sequences. I will be expanding his project by including the possibility of a draw between two teams, in addition to a win or a loss. Teams and games will be modeled by complete graphs where each vertex represents a team and each directed edge between two vertices represents the outcome of a game between the two corresponding teams. Since I am including draws, I will be exploring values placed on wins, draws, and losses and how they affect the score sequences derived from those tournaments graphs.
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Tran, Kaylynn H., "Exploring Sequences of Tournament Graphs with Draws" (2018). Senior Projects Spring 2018. 275.
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