Work

On Decomposing Graphs Into Forests and Pseudoforests

Year: 2019
Type: preprint
Abstract: We prove that for $k \in \mathbb{N}$ and $d \leq 2k+2$, if a graph has maximum average degree at most $2k + \frac{2d}{d+k+1}$, then $G$ decomposes into $k+1$ pseudoforests, where one of the pseudoforests has all connected components having at most $d$ edges.
Language: English
Open Access status: green
OpenAlex ID: W2942389368
Cites: 9
Cited by: 2
Related to: 10