We study the relations between strong isoperimetric inequalities and Gromov hyperbolicity on planar graphs, and give an alternative proof for the following statement: if a planar graph of bounded face degree satisfies a strong isoperimetric inequality, then it is Gromov hyperbolic. This theorem was formerly proved in the author’s paper from 2014  using combinatorial methods, while geometric approach is used in the present paper.
- Gromov hyperbolicity
- Planar graph
- Strong isoperimetric inequality