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Social networks (SNs) are a traditional subject of study in social sciences [1–3] and may be tackled from many perspectives, including complexity and dynamics [4–6]. Recently, they have attracted much attention after their tremendous growth through the internet. A SN is a set of people, ‘actors’, with a pattern of interactions between them. In principle, there is no restriction on the nature of these interactions. In practice, in actual SNs, these interactions are based on relationships or mutual acquaintances (common interests, friendship, kinship, etc). However, to our knowledge, SNs have never been discussed on the basis of general interactions which can give rise to them.
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