Logan Grout

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20192022

most citedOn Decomposing Graphs Into Forests and Pseudoforests

2 citations · 4 across the 3 of their papers we have counts for

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math.CO2019

The Pseudoforest analogue for the Strong Nine Dragon Tree Conjecture is True

Logan Grout, Benjamin Moore

We prove that for any positive integers $k$ and $d$ , if a graph $G$ has maximum average degree at most $2 k + \frac{2 d}{d + k + 1}$ , then $G$ decomposes into $k + 1$ pseudoforests $C_{1},…

math.CO2019★ 2 cited

On Decomposing Graphs Into Forests and Pseudoforests

Logan Grout, Benjamin Moore

We prove that for $k \in N$ and $d \leq 2 k + 2$ , if a graph has maximum average degree at most $2 k + \frac{2 d}{d + k + 1}$ , then $G$ decomposes into $k + 1$ pseudoforests, where o…