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In social networks of human individuals, social relationships do notnecessarily last forever as they can either fade gradually with time, resultingin link aging, or terminate abruptly, causing link deletion, as even oldfriendships may cease. In this paper, we study a social network formation modelwhere we introduce several ways by which a link termination takes place. If weadopt the link aging, we get a more modular structure with more homogeneouslydistributed link weights within communities than when link deletion is used. Byinvestigating distributions and relations of various network characteristics,we find that the empirical findings are better reproduced with the linkdeletion model. This indicates that link deletion plays a more prominent rolein organizing social networks than link aging.

Modeling the role of relationship fading and breakup in social network formation