  In recent decades, the deployments of cellular networks have been going
through an unprecedented expansion. In this regard, it is beneficial to acquire
profound knowledge of cellular networks from the view of topology so that
prominent network performances can be achieved by means of appropriate
placements of base stations (BSs). In our researches, practical location data
of BSs in eight representative cities are processed with classical algebraic
geometric instruments, including $ \alpha $-Shapes, Betti numbers, and Euler
characteristics. At first, the fractal nature is revealed in the BS topology
from both perspectives of the Betti numbers and the Hurst coefficients.
Furthermore, log-normal distribution is affirmed to provide the optimal fitness
to the Euler characteristics of real BS deployments.

Networking and Internet Architecture