论文标题
零$ a $ paths和erdős-pósa物业
Zero $A$-paths and the Erdős-Pósa property
论文作者
论文摘要
令$γ$为Abelian群体。在本文中，我描述了具有Erdős-Pósa属性的$ 0 \inγ$的$ a $ paths。在辅助图中使用它，也可以轻松地表征具有Erdős-Pósa属性的$γ\inγ$的$ a $ paths。这些结果也扩展到长路径，即一定长度的路径。 具有非零链接的零壁上的结构结果将被证明是证明本文的主要结果。这立即暗示，相对于Abelian $γ$具有Erdős-Pósa属性的零周期。
Let $Γ$ be an Abelian group. In this paper I characterize the $A$-paths of weight $0\inΓ$ that have the Erdős-Pósa property. Using this in an auxiliary graph, one can also easily characterize the $A$-paths of weight $γ\inΓ$ that have the Erdős-Pósa property. These results also extend to long paths, that is paths of some minimum length. A structural result on zero walls with non-zero linkages will be proven as a means to prove the main result of this paper. This immediately implies that zero cycles with respect to an Abelian group $Γ$ have the Erdős-Pósa property.
