Issue |
RAIRO-Oper. Res.
Volume 52, Number 3, July–September 2018
|
|
---|---|---|
Page(s) | 839 - 847 | |
DOI | https://doi.org/10.1051/ro/2016071 | |
Published online | 23 October 2018 |
Network robustness and residual closeness
1
Faculty of Science, Department of Mathematics, Ege University, 35100
İzmir, Turkey
2
Faculty of Science, Department of Computer Science, Dokuz Eylul University, 35160
İzmir, Turkey
* Corresponding author: aysun.aytac@ege.edu.tr
Received:
14
March
2016
Accepted:
27
October
2016
A central issue in the analysis of complex networks is the assessment of their robustness and vulnerability. A variety of measures have been proposed in the literature to quantify the robustness of networks and a number of graph-theoretic parameters have been used to derive formulas for calculating network reliability. In this paper, we study the vulnerability of interconnection networks to the failure of individual nodes, using a graph-theoretic concept of residual closeness as a measure of network robustness which provides a much fuller characterization of the network.
Mathematics Subject Classification: 05C40 / 68M10 / 68R10
Key words: Graph vulnerability / closeness / network design and communication / stability / communication network
© EDP Sciences, ROADEF, SMAI 2018
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