|
|||||
 |
|
|
|
|
|
Leverage
centrality of knight's graphs and Cartesian products of
regular graphs and path powers
Roger Vargas, Jr., Abigail Waldron, Anika Sharma, Rigoberto Flórez and Darren A. Narayan
Vol. 10 (2017), No. 4, 583–592
|
Abstract |
|
In 2010, Joyce et al. defined the leverage centrality of a graph as a means to analyze connections within the brain. In this paper we investigate this property from a mathematical perspective and determine the leverage centrality for knight’s graphs, path powers, and Cartesian products. |
Keywords
leverage centrality, knight's graphs
|
Mathematical Subject Classification 2010
Primary: 05C07
|
Milestones
Received: 9 September 2015
Revised: 4 January 2016
Accepted: 25 March 2016
Published: 7 March 2017
Communicated by Kenneth S. Berenhaut
|
Authors |
| Roger Vargas, Jr. | |
| Mathematics and Statistics Williams College Williamstown, MA 01267 United States |
|
| Abigail Waldron | |
| Mathematics Department Presbyterian College Clinton, SC 29325 United States |
|
| Anika Sharma | |
| Department of Computer Science and
Department of Mathematics University of Buffalo Buffalo, NY 14260 United States |
|
| Rigoberto Flórez | |
| Department of Mathematics and
Computer Science The Citadel Charleston, SC 29409 United States |
|
| Darren A. Narayan | |
| School of Mathematical
Sciences Rochester Institute of Technology Rochester, NY 14623 United States |
|
|
