<p>I don't know about a survey, but I've found a recent PhD thesis, which seems to be well written:</p>
<p>Heinlein, Matthias (2019): Erdős-Pósa properties. Open Access Repositorium der Universität Ulm. Dissertation. <a href="http://dx.doi.org/10.18725/OPARU-11828" rel="noreferrer">http://dx.doi.org/10.18725/OPARU-11828</a></p>
<p>The first chapter gives a summary of the problem, known proof techniques and provides references to recent research. I am not an expert on this problem and only skimmed the first chapter briefly, so YMMV.</p>

CC BY-SA 4.0
2020-12-27T20:53:21.257Z
2020-12-27T20:53:21.257Z
Hermann Gruber
<p>Does anyone know of any good surveys on Erdős-Pósa?</p>
<p>I am particularly interested in what are the latest results for the bounding function for directed and even cycles in planar and minor free graphs down to the constant factor.</p>

<reference-request><directed-acyclic-graph><survey><graph-minor>
Survey on Erdős-Pósa?
Hao S
# Survey on Erdős-Pósa?

(Asked by: username_0 on 2020-12-24)

Does anyone know of any good surveys on Erdős-Pósa?

I am particularly interested in what are the latest results for the bounding function for directed and even cycles in planar and minor free graphs down to the constant factor.

**Tags:** reference-request, directed-acyclic-graph, survey, graph-minor

---

## 1 answers

### Answer by username_1 on 2020-12-27. Score: 8 | Accepted answer

I don't know about a survey, but I've found a recent PhD thesis, which seems to be well written:

Heinlein, Matthias (2019): Erdős-Pósa properties. Open Access Repositorium der Universität Ulm. Dissertation. <http://dx.doi.org/10.18725/OPARU-11828>

The first chapter gives a summary of the problem, known proof techniques and provides references to recent research. I am not an expert on this problem and only skimmed the first chapter briefly, so YMMV.


---

