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arxiv: 1007.0316 · v2 · pith:WU6VWLVMnew · submitted 2010-07-02 · 🧮 math.CO

Covering a graph by forests and a matching

classification 🧮 math.CO
keywords forestsgraphmatchingarboricitycoveringdecomposededgesfractional
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We prove that for any positive integer $k$, the edges of any graph whose fractional arboricity is at most $k + 1/(3k+2)$ can be decomposed into $k$ forests and a matching.

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