# Acyclic Choosability of Graphs with Small Maximum Degree

```@inproceedings{Gonalves2005AcyclicCO,
title={Acyclic Choosability of Graphs with Small Maximum Degree},
author={Daniel Gonçalves and Micka{\"e}l Montassier},
booktitle={WG},
year={2005}
}```
• Published in WG 23 June 2005
• Mathematics
A proper vertex coloring of a graph G = (V,E) is acyclic if G contains no bicolored cycle. A graph G is L-list colorable if for a given list assignment L = {L(v) : v ∈ V}, there exists a proper coloring c of G such that c(v) ∈ L(v) for all v ∈ V. If G is L-list colorable for every list assignment with |L(v)| ≥ k for all v ∈ V, then G is said k-choosable. A graph is said to be acyclically k-choosable if the coloring obtained is acyclic. In this paper, we study the acyclic choosability of graphs…
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