Abstract
Infrastructure Networks (INs) have reached a level of complexity
where conventional vulnerability analysis methods cannot fulfil the challenges
for the management of this increasing complexity. There is, therefore, a need
for a complementary approach through which the structural complexity and the
level of interaction among the components are studied. In this context, researchers
have increasingly looked into graph theory for help in understanding the structure,
efficiency, and vulnerability of INs. The desire to employ the graph theory
has resulted in the proliferation of a wide range of topological metrics. To gain
a better appreciation for how various graph theory quantities have been used for
vulnerability evaluation of INs, this chapter documents a variety of concepts from
graph theory in one place and presents an overview of the application of graph
theory in the field of INs. It also reviews the conceptions of the four widely used
vulnerability-averse indicators of INs, which are reliability, resilience, robustness,
and redundancy. The conventional graph theory methods are criticized on several
grounds and the future evolution of graph theory tools is forecast.
where conventional vulnerability analysis methods cannot fulfil the challenges
for the management of this increasing complexity. There is, therefore, a need
for a complementary approach through which the structural complexity and the
level of interaction among the components are studied. In this context, researchers
have increasingly looked into graph theory for help in understanding the structure,
efficiency, and vulnerability of INs. The desire to employ the graph theory
has resulted in the proliferation of a wide range of topological metrics. To gain
a better appreciation for how various graph theory quantities have been used for
vulnerability evaluation of INs, this chapter documents a variety of concepts from
graph theory in one place and presents an overview of the application of graph
theory in the field of INs. It also reviews the conceptions of the four widely used
vulnerability-averse indicators of INs, which are reliability, resilience, robustness,
and redundancy. The conventional graph theory methods are criticized on several
grounds and the future evolution of graph theory tools is forecast.
| Original language | English |
|---|---|
| Title of host publication | WCEAM 2019-Lecture Notes in Mechanical Engineering |
| Editors | Adolfo Crespo Márquez, Dragan Komljenovic, Joe Amadi-Echendu |
| Place of Publication | Cham |
| Publisher | Springer Nature |
| Pages | 91-101 |
| ISBN (Electronic) | 978-3-030-64228-0 |
| ISBN (Print) | 978-3-030-64227-3 |
| Publication status | Published - 2021 |
Keywords
- Graph theory
- Vulnerability
- Infrastructure networks