Proof of Kirchoff's Theorem - Intuition & Explanation

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A request for a proof of Kirchhoff's theorem highlights the difficulty in intuitively understanding the concept, which seems almost magical to some. The discussion notes that while proofs of Cayley's formula are more common, resources for Kirchhoff's theorem are scarce. A participant mentions finding a helpful link on Wikipedia related to the theorem. There is a humorous acknowledgment of the correct spelling of Kirchhoff's name. Overall, the conversation reflects a blend of curiosity and lightheartedness regarding graph theory.
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Hey,

Is there a proof of Kirchoff's theorem available somewhere online? In literature I can find only proofs of Cayley's formula, and the matrix tree theorem is usually only mentioned, if that.

I want to see a proof because I'm having a hard time intuitively understanding why this works, it seems almost like magic. :biggrin:
 
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I must admit that my first reaction was "Kirchoff? Doesn't that have to do with electrical circuits?" Obviously, graph theory is not my field! But I googled on "Kirchoff's Theorem" and in Wikipedia found a link to
http://math.fau.edu/locke/Graphmat.htm
 
I somehow managed to not notice that link even though I've read the wiki page. Thanks a lot!
 
erm :redface: … it's Kirchhoff …

write it out 100 times! (both of you! :biggrin:)
 

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