Скачать с ютуб Intro to Tournament Graphs | Graph Theory в хорошем качестве

Intro to Tournament Graphs | Graph Theory

We introduce directed tournament graphs, which can be thought of as a graph representing the outcome of a round robin tournament - where vertices represent teams, and directed edges (arcs) go from winners to losers. We'll also discuss how many labelled tournaments there are on n vertices, and how many unlabelled tournaments there are. #GraphTheory We see several explanations and examples of tournament graphs, and some non-examples. A tournament is a directed graph with exactly one arc between each pair of vertices. Or equivalently, it is an orientation of a complete graph. Orientations of Graphs:    • Orientations of Graphs | Directed Gra...   Number of edges in a complete graph:    • Number of Edges in a Complete Graph (...   Transitive Tournaments:    • Transitive Tournaments (Directed Grap...   Tournament is Transitive iff No Cycles:    • Proof: Tournament is Transitive iff i...   Every Tournament has Hamiltonian Path:    • Proof: Every Tournament has Hamiltoni...   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