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Leadership Insularity: A New Measure of Connectivity Between Central Nodes in Networks
Samuel Arbesman1, Nicholas A Christakis2
1Department of Health Care Policy, Harvard Medical School, Cambridge, Massachusetts.
Abstract:
We combine two foci of interest with respect to community identification and node centrality and create a novel metric termed "leadership insularity." By determining the most highly connected nodes within each community of a network, we designate the 'community leaders' within the graph. In doing this, we have the basis for a novel metric that examines how connected, or disconnected, the leaders are to each other. This measure has a number of appealing measurement properties and provides a new way of understanding how network structure can affect its dynamics, especially information flow. We explore leadership insularity in a variety of networks.
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