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A Simple Proof of the Cayley Formula using Random Graphs

We present a nice result on the probability of a cycle occurring in a randomly generated graph. We then provide some extensions and applications, including the proof of the famous Cayley formula, which states that the number of labeled trees on $n$ vertices is $n^{n-2}.$

preprint2013arXivOpen access
Scott WuRay LiAndrew HeSteven Hao
math.CO
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Open access4 authors1 topic
Imported metadata coverageMissing code, dataset, citation and institution fields are tracked without dominating the paper.Details
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Scott WuRay LiAndrew HeSteven Hao

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