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Anti-transitivity captures the notion that enemies of enemies are friends,and arises naturally in the study of adversaries in social networks and in thestudy of conflicting nation states or organizations. We present a simplified,evolutionary model for anti-transitivity influencing link formation in complexnetworks, and analyze the model's network dynamics. The Iterated LocalAnti-Transitivity (or ILAT) model creates anti-clone nodes in each time-step,and joins anti-clones to the parent node's non-neighbor set. The graphsgenerated by ILAT exhibit familiar properties of complex networks such asdensification, short distances (bounded by absolute constants), and badspectral expansion. We determine the cop and domination number for graphsgenerated by ILAT, and finish with an analysis of their clusteringcoefficients. We interpret these results within the context of real-worldcomplex networks and present open problems.

Common adversaries form alliances: modelling complex networks via anti-transitivity