Network Evolution Based on Centrality
We study the evolution of networks when the creation and decay of links are based on the position of nodes in the network measured by their centrality. We show that the same network dynamics arises under various centrality measures, and solve analytically the network evolution. During the complete evolution, the network is characterized by nestedness: the neighborhood of a node is contained in the neighborhood of the nodes with larger degree. We find a sharp transition between hierarchical and homogeneous networks, depending on the rate of link decay. We also show that this evolution mechanism may lead to double power-law degree distributions, with interrelated exponents.
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- Coralio Ballester & Antoni Calvó-Armengol & Yves Zenou, 2006.
"Who's Who in Networks. Wanted: The Key Player,"
Econometric Society, vol. 74(5), pages 1403-1417, 09.
- Coralio Ballester & Antoni Calvó-Armengol & Yves Zenou, 2004. "Who's Who in Networks. Wanted: The Key Player," Working Papers 178, Barcelona Graduate School of Economics.
- Coralio Ballester & Antoni Calvo-Armengol & Yves Zenou, 2005. "Who's Who in Networks. Wanted: the Key Player," NajEcon Working Paper Reviews 666156000000000586, www.najecon.org.
- Ballester, Coralio & Calvó-Armengol, Antoni & Zenou, Yves, 2005. "Who’s Who in Networks. Wanted: The Key Player," CEPR Discussion Papers 5329, C.E.P.R. Discussion Papers.
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