# An Algorithm for Optimal Acyclic Edge-Colouring of Cubic Graphs

@inproceedings{Mcajov2011AnAF, title={An Algorithm for Optimal Acyclic Edge-Colouring of Cubic Graphs}, author={Edita M{\'a}cajov{\'a} and J{\'a}n Maz{\'a}k}, booktitle={FAW-AAIM}, year={2011} }

Anacyclic edge-colouring of a graph is a proper edge-colouring such that the subgraph induced by the edges of any two colours is acyclic. The acyclic chromatic index of a graph G is the smallest possible number of colours in an acyclic edge-colouring of G. In [12], we have shown that the acyclic chromatic index of a connected subcubic graph G is at most 4 with the exception of K4 and K3,3, for which five colors are optimal. Here we give a quadratic-time algorithm that finds an acyclic 4-edge…

## 2 Citations

### Acyclic 4-edge colouring of non-regular subcubic graphs in linear time

- MathematicsDiscret. Appl. Math.
- 2014

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