The distance between users has an effect on the formation of social network ties,
but it is not the only or even the main factor. Knowing all the features that influence
such ties is very important for many related domains such as location-based recommender
systems and community and event detection systems for online social networks (OSNs).
In recent years, researchers have analyzed the role of user geo-location in OSNs.
Researchers have also attempted to determine the probability of friendships being
established based on distance, where friendship is not only a function of distance.
However, some important features of OSNs remain unknown. In order to comprehensively
understand the OSN phenomenon, we also need to analyze users' attributes. Basically,
an OSN functions according to four main user properties: user geo-location, user weight,
number of user interactions, and user lifespan. The research presented here sought
to determine whether the user mobility pattern can be used to predict users' interaction
behavior. It also investigated whether, in addition to distance, the number of friends
( known as user weight) interferes in social network tie formation. To this end, we
analyzed the above-stated features in three large-scale OSNs. We found that regardless
of a high degree freedom in user mobility, the fraction of the number of outside activities
over the inside activity is a significant fraction that helps us to address the user
interaction behavior. To the best of our knowledge, research has not been conducted
elsewhere on this issue. We also present a high-resolution formula in order to improve
the friendship probability function.