Mitchell Centre Seminar Series
Dates: | 4 May 2016 |
Times: | 16:00 - 17:30 |
What is it: | Seminar |
Organiser: | School of Social Sciences |
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Filip Agneessens, University of Surrey
Centrality measure(s): local and global versions of walks, trails and paths.
Measures of individual centrality for an actor (i) in a network are often obtained by aggregating the connections between the focal actor (i) and all its direct and indirect connections to others (k) in this network. The level to which there is a connection between an actor (i) and others (k) will be dependent on the choice of trajectories that are allowed, i.e. the way resources from actor (i) can flow through the network in order to reach these others (k). Borgatti (2005) has focused on four such types of trajectories: walks, trails, paths and geodesics. Trails are specific types of walks were the same edge cannot be passed multiple times in a specific trajectory, whereas paths are specific types of trails where the same nodes cannot be passed multiple times in a specific trajectory.
However, such restrictions do not have to be binary (i.e. the same edge or node can or cannot be passed), but instead can be probabilistic (i.e. it is less or more likely that the same edge or node is passed). Moreover these restrictions might be more or less relevant when the edge or node is revisited after a short versus long number of intermediary steps (resulting in more local versus more global restrictions). Implications for developing centrality measures is discussed.
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