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Among topics of opinion formation it is of interest to observe thecharacteristics of networks with a priori distinct communities. As anillustration, we report on the citation network(s) unfolded in the recentdecades through web available works belonging to selected members of theNeocreationist and Intelligent Design Proponents (IDP) and the DarwinianEvolution Defenders (DED) communities. An adjacency matrix of tagged nodes isfirst constructed; it is not symmetric. A generalization of considerationspertaining to the case of networks with biased links, directed or undirected,is thus presented. The main characteristic coefficients describing thestructure of such partially directed networks with tagged nodes are outlined.The structural features are discussed searching for statistical aspects,equivalence or not of subnetworks through the degree distributions, eachnetwork assortativity, the global and local clustering coefficients and theAverage Overlap Indices. The various closed and open triangles made from nodes,moreover distinguishing the community, are especially listed to calculate theclustering characteristics. The distribution of elements in the rectangularsubmatrices are specially examined since they represent inter-communityconnexions. The emphasis being on distinguishing the number of verticesbelonging to a given community. Using such informations one can distinguishbetween opinion leaders, followers and main rivals and briefly interpret theirrelationships through psychological-like conditions intrinsic to behavior rulesin either community. Considerations on other controversy cases with similarsocial constraints are outlined, as well as suggestions on further, moregeneral, work deduced from our observations on such networks.

physica a statistical mechanics and its applications

Organization of networks with tagged nodes and biased links: a priori  distinct communities. The case of Intelligent Design Proponents and Darwinian  Evolution Defenders