We prove that every tournament graph contains a Hamiltonian path, that is a path containing every vertex of the graph. Recall a tournament is a directed graph with exactly one arc between each pair of vertices. The proof will proceed by contradiction, and follow a similar format to other proofs we have seen related to Hamiltonian paths, Hamiltonian cycles, and Hamiltonian graphs. #GraphTheory
Intro to Tournaments: • Intro to Tournament Graphs | Graph Th...
Hamiltonian Cycles, Graphs, and Paths: • Hamiltonian Cycles, Graphs, and Paths...
Necessary Condition for Graphs with Hamilton Paths: • Proof: Necessary Component Condition ...
Graph Theory Playlist: • Graph Theory
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