We introduce new broadcast and receive communicability indices that can be used as global measures of how effectively information is spread in a directed network. Furthermore, we describe fast and effective criteria for the selection of edges to be added to (or deleted from) a given directed network so as to enhance these network communicability measures. Numerical experiments illustrate the effectiveness of the proposed techniques.
- network analysis
- directed network
- edge modification
- matrix function
Arrigo, F., & Benzi, M. (2016). Edge modification criteria for enhancing the communicability of digraphs. SIAM Journal on Matrix Analysis and Applications, 37(1), 443-468. https://doi.org/10.1137/15M1034131