Vertex centrality as a measure of information flow in Italian Corporate Board Networks

The aim of this article is to investigate the governance models of companies listed on the Italian Stock Exchange by using a network approach, which describes the interlinks between boards of directors. Following mainstream literature, I construct a weighted graph representing the listed companies (vertices) and their relationships (weighted edges), the Corporate Board Network; I then apply three different vertex centrality measures: degree, betweenness and flow betweenness. What emerges from the network construction and by applying the degree centrality is a structure with a large number of connections but not particularly dense, where the presence of a small number of highly connected nodes (hubs) is evident.

[1]  Downloaded from , 1997 .

[2]  Stephen P. Borgatti,et al.  Centrality and network flow , 2005, Soc. Networks.

[3]  Fabian J Theis,et al.  Which Sectors of a Modern Economy are Most Central? , 2010, SSRN Electronic Journal.

[4]  P. Bonacich Power and Centrality: A Family of Measures , 1987, American Journal of Sociology.

[5]  H E Stanley,et al.  Classes of small-world networks. , 2000, Proceedings of the National Academy of Sciences of the United States of America.

[6]  Walter Willinger,et al.  Towards a Theory of Scale-Free Graphs: Definition, Properties, and Implications , 2005, Internet Math..

[7]  H. Kunzi,et al.  Lectu re Notes in Economics and Mathematical Systems , 1975 .

[8]  M. E. J. Newman,et al.  Power laws, Pareto distributions and Zipf's law , 2005 .

[9]  Michel L. Goldstein,et al.  Problems with fitting to the power-law distribution , 2004, cond-mat/0402322.

[10]  Frank Harary,et al.  Graph Theory , 2016 .

[11]  Mark E. J. Newman,et al.  The Structure and Function of Complex Networks , 2003, SIAM Rev..

[12]  S. Battiston,et al.  Statistical properties of corporate board and director networks , 2004 .

[13]  L. Freeman Centrality in social networks conceptual clarification , 1978 .

[14]  Albert,et al.  Emergence of scaling in random networks , 1999, Science.

[15]  Raya Khanin,et al.  How Scale-Free Are Biological Networks , 2006, J. Comput. Biol..

[16]  L. Freeman,et al.  Centrality in valued graphs: A measure of betweenness based on network flow , 1991 .