Network Robustness Analysis. = Ανάλυση Ανθεκτικότητας Δικτύων.

Περίληψη

The use and study of networks has become more and more relevant in the recent years. Their functionality, as well as their ability to preserve it, is highly important in the world of today. This work is an attempt to collect the research on the various methods of measuring network robustness to malicious attempts to disconnect them, as well as the effectiveness of such attempts. Furthermore, we compare the robustness of four different directed networks both in name, using indices of robustness, and in practice, observing the effects of various deconstruction attempts on them. This step is performed using the 3.4.3 version of the R programming language on a 64-bit windows platform. Our findings agree, in general, with previous research, but bring up a few points that require further exploration. Chapter 1 contains the introduction. In chapter 2 we provide the necessary background definitions on network theory. In chapter 3 we define and classify the various indices of network robustness and present some of their properties. In chapter 4 we present the methods of attack, as well as tables with the studies they have been tested on. In chapter 5 we present an example of network analysis on four directed networks. In chapter 6 we present a summary of the known results in the literature that has been presented in chapters 3 and 4, and compare them with our own findings in chapter 5. In chapter 7 we draw our conclusions and present the discussion of our work