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Cayley's Formula

A short video about an elegant proof of the number of spanning trees of a complete graph. ------------------ Timetable: 0:00 - Introduction 0:13 - Definitions 0:34 - Statement 1:03 - Proof 3:37 - Outro ------------------ Source code: https://github.com/xiaoxiae/videos/tr... Music: Maisie Dreamer by Blue Dot Sessions: https://app.sessions.blue/browse/trac... Software used: Manim (animations): https://github.com/ManimCommunity/manim/ Kdenlive (video): https://kdenlive.org/en/ ffmpeg (video): https://ffmpeg.org/ Vector Magic (images): https://vectormagic.com/ arecord (audio): https://linux.die.net/man/1/arecord sox (audio): http://sox.sourceforge.net/ Social media: Website (for other things I'm up to): https://slama.dev/ Patreon (if you'd like to support me):   / ytoms   ------------------ [CZ] My notes on Martin Koutecký's Combinatorics and Graphs 1 lecture: https://slama.dev/lecture-notes/kombi...