Generalized two-mode cores

• We present a new method “generalized two-mode cores” for direct analysis of two-mode networks.
• We provide a list of node property functions to be used in our method.
• We present an efficient algorithm for generalized two-mode cores in large sparse networks.
• We present an algorithm for determining nested generalized two-mode cores for one threshold fixed.
• We prove some interesting properties of generalized two-mode cores.

The node set of a two-mode network consists of two disjoint subsets and all its links are linking these two subsets. The links can be weighted. We developed a new method for identifying important subnetworks in two-mode networks. The method combines and extends the ideas from generalized cores in one-mode networks and from (p, q)-cores for two-mode networks. In this paper we introduce the notion of generalized two-mode cores and discuss some of their properties. An efficient algorithm to determine generalized two-mode cores and an analysis of its complexity are also presented. For illustration some results obtained in analyses of real-life data are presented.

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