The Institute for Mathematical Behavioral Sciences Colloquium Series presents
"Social Networks Containing Negative Ties"
with Martin G Everett, Mitchell Centre for Social Network Analysis, University of Manchester
April 3, 2014
Social Science Plaza A, Room 2112
Social network analysts have often collected data on negative relations such as dislike, avoidance, and conflict. Most often, the ties are analyzed in such a way that the fact that they are negative is of no consequence. For example, they have often been used in blockmodeling analyses where many different kinds of ties are used together and all ties are treated the same, regardless of meaning. However, sometimes we may wish to apply other network analysis concepts, such as centrality or cohesive subgroups. The question arises whether all extant techniques are applicable to negative tie data. In this talk, Everett considers in a systematic way which standard techniques are applicable to negative ties and what changes in interpretation have to be made because of the nature of the ties. He will also introduce some new techniques specifically designed for negative ties. Finally he will show how one of these techniques for centrality can be extended to networks with both positive and negative ties to give a new centrality measure (PN centrality) that is applicable to directed valued data with both positive and negative ties.
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