A friendly deep-dive into the handshaking lemma. We explain what graphs are, why the sum of vertex degrees equals twice the number of edges, and why an even number of odd-degree vertices appears. We’ll trace ideas from the seven bridges of Königsberg to network design, Sperner’s lemma, and other surprising applications—delivering intuition, examples, and real-world relevance for listeners of all backgrounds.

Note:  This podcast was AI-generated, and sometimes AI can make mistakes.  Please double-check any critical information.

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