Some new procedures in Pajek
Vladimir Batagelj
In: Dagstuhl Seminar 05361, 04 Sep - 09 Sep 2005, Dagstuhl, Germany.

Abstract

We present some newest additions to Pajek - a program for analysis and visualization of large networks. 1. network multiplication: in general the multiplication of large sparse networks is a 'dangerous' operation since the result can 'explode' - it is not sparse. In some cases we can show that it remains sparse and provides us with useful information. One such application is the computation of basic kinship relations from genealogies. 2. bipartite cores: for analysis of 2-mode (bipartite) networks the notion of core can be extended to $(p,q)$-cores - all degrees in the first set are at least $p$, and in the second set at least $q$. The $(p,q)$-cores can be efficiently determined, but how to select the right $p$ and $q$ ? 3. 4-rings: to identify dense parts in 2-mode networks we can use as the weight of lines the number (and type, in directed networks) of 4-(semi)cycles that contain the line. The contribution is a joint work with Andrej Mrvar.

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