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arxiv: 0909.2508 · v1 · submitted 2009-09-14 · 🧮 math.CO

A Bijective Proof For Forest Reciprocity Theorem

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keywords bijectivegraphpolynomialproofreciprocitytheoremcasecoding
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In this paper, we study the graph polynomial that counts spanning rooted forests f_g of a given graph. This polynomial has a remarkable reciprocity property. We give a new bijective proof for this theorem which has Prufer coding as a special case.

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