Proof of Kirchoff's Theorem - Intuition & Explanation

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Discussion Overview

The discussion revolves around the proof of Kirchhoff's theorem, particularly focusing on the intuition behind it and the availability of resources for understanding the theorem. Participants express their challenges in grasping the concept and seek clarification on its mathematical foundations.

Discussion Character

  • Exploratory, Conceptual clarification, Meta-discussion

Main Points Raised

  • One participant requests a proof of Kirchhoff's theorem, noting difficulty in intuitively understanding it.
  • Another participant initially confuses Kirchhoff's theorem with its application in electrical circuits, indicating a lack of familiarity with graph theory.
  • A participant expresses gratitude for a resource link provided, suggesting they had overlooked it previously.
  • A light-hearted correction is made regarding the spelling of "Kirchhoff," emphasizing the importance of accurate terminology.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the proof or intuitive understanding of Kirchhoff's theorem, and multiple viewpoints regarding its interpretation and resources remain present.

Contextual Notes

There is an indication of varying levels of familiarity with graph theory among participants, which may affect their understanding and discussion of Kirchhoff's theorem.

pig
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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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