Скачать с ютуб Proof: Every Tournament has Hamiltonian Path | Graph Theory в хорошем качестве

Proof: Every Tournament has Hamiltonian Path | Graph Theory

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   ★DONATE★ ◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits:   / wrathofmathlessons   ◆ Donate on PayPal: https://www.paypal.me/wrathofmath Thanks to Robert Rennie, Barbara Sharrock, and Rolf Waefler for their generous support on Patreon! Thanks to Crayon Angel, my favorite musician in the world, who upon my request gave me permission to use his music in my math lessons: https://crayonangel.bandcamp.com/ Follow Wrath of Math on... ● Instagram:   / wrathofmathedu   ● Facebook:   / wrathofmath   ● Twitter:   / wrathofmathedu   My Music Channel:    / @emery3050