Take a graph and substitute links by new nodes. Remove old nodes. Add new links: two new nodes are connected if they shared a node in the initial graph. In this way we obtain a line graph. Now suppose that a society is a network, where nodes are families, groups of friends, school classes, small companies etc. Two nodes are connected if two groups share a member. A line graph formed on this social network is a conventional network, where persons are nodes. The goals of this construction are: social networks are clusterized and assortative, as it is observed in the network of LiveJournal of 8x10⁶ nodes (arXiv:1010.2460, submitted to publication).

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