We obtain Poisson equations satisfied by elliptic modular graph functions with four links. Analysis of these equations leads to a non--trivial algebraic relation between the various graphs.

中文翻译：

---

椭圆模图函数的泊松方程

我们获得了具有四个链接的椭圆模图函数满足的泊松方程。对这些方程的分析导致了各种图形之间的非平凡代数关系。