In this note the correction to the proof of Theorem 1.2 from Gordinowicz and the corrected version of Corollary 1.4 is presented.

In [1] the firefighter problem on planar graphs was considered. In particular the following bound for the 2‐surviving rate (expected fraction of the vertices of a graph saved from the fire starting at a random vertex, provided that two vertices per round can be protected) was established.

However, as pointed out by Bartosz Walczak, there was some technical/calculation error in the proof (the solution of an auxiliary parameterised linear program was partially incorrect) which caused a gap in the proof for graphs on less than 36 vertices. A complete, corrected proof is presented in Section 2. We note that Theorem 1.2 remains unchanged.

The theorem was followed by two corollaries and one of them also needs a correction. There was some miscalculation (again pointed out by Bartosz Walczak) in the bound for average degree for planar graphs without 4‐cycles. The proper value is $\frac{30}{7}$ (one can either check it in, e.g., [3, Lemma 1.7] or derive it directly from Euler Formula) and it leads to the following.

We refer the reader to the original paper for the definitions and notations used in this note. The numbering of theorems, lemmas and corollaries follows the numeration in [1].

在本注释中，提出了对来自Gordinowicz的定理1.2证明的更正以及对推论1.4的更正。

在[ 1 ]中，考虑了平面图上的消防员问题。尤其要为2生存率（从火中保存的图形的顶点的期望分数，从一个随机顶点开始，假设每轮可以保护两个顶点）确定以下界限。

但是，正如Bartosz Walczak所指出的，证明中存在一些技术/计算错误（辅助参数化线性程序的解在某种程度上是不正确的），这导致了少于36个顶点的图形的证明存在空白。第2节中提供了完整的，经过更正的证明。我们注意到定理1.2保持不变。

该定理后面有两个推论，其中之一也需要更正。没有4个循环的平面图的平均度界有一些误算（由Bartosz Walczak再次指出）。正确的值是$\frac{30}{7}$（可以将其检入[ 3，引理1.7]或直接从Euler公式得出），然后得出以下结论。

对于本注释中使用的定义和符号，我们请读者参考原始论文。定理，引理和推论的编号遵循[ 1 ]中的编号。