  In recent years, studies on public transport networks have intensified in the
Social Networks field, especially in bus networks. This has occurred because of
the relevance of urban mobility for the proper functioning of a city. The Rio
de Janeiro city, Brazil, has undergone recent changes in the city of Rio de
Janeiro, Brazil, has undergone recent changes in its municipal bus system,
modifying several lines and bus stops. This paper proposes to analyze the
structure of the bus transportation network of this city, comparing its
topology in 2014 and 2016, before and after the change. For this, the
properties of the bus system were investigated based on the topological models
B\-space, P\-space, and C\-space. Some essential parameters were calculated,
such as the giant component, distance, diameter, degree, closeness, and
betweenness. The results showed that there was a reduction of 22.75\% of the
lines and 5.19\% of the bus stops from 2014 to 2016. It was also verified that
a maximum of four lines is required to move between any two bus stops within
the city in both years. However, with three lines is possible to reach more
than 99\% of the bus stops. Besides, this study also suggests exploring the
C\-space network according to a minimum number of frequent bus stops that the
lines had. Based on the component giant analysis of these networks with many
common points, it is possible to detect possible expressway corridors.
