Thesis
Centrality analysis for modified lattices
- Creator
- Rights statement
- Awarding institution
- University of Strathclyde
- Date of award
- 2022
- Thesis identifier
- T16410
- Person Identifier (Local)
- 201484733
- Qualification Level
- Qualification Name
- Department, School or Faculty
- Abstract
- We derive new, exact expressions for network centrality vectors associated with classical Watts–Strogatz style “ring plus shortcut” networks. We also derive easy-to-interpret approximations that are highly accurate in the large network limit.The analysis helps us to understand the role of the Katz parameter and the PageRank parameter, to compare linear system and eigenvalue based centrality measures, and to predict the behavior of centrality measures on more complicated networks. We also derive accurate upper and lower bounds for the domiannt, Perron-Frobenius, eigenvalue of a “ring plus shortcut” network. The results areillustrated with computational experiments, and directions for future work are discussed.
- Advisor / supervisor
- Akartunah, Kerem
- Higham, Des
- Resource Type
- DOI
Relations
Items
| Thumbnail | Title | Date Uploaded | Visibility | Actions |
|---|---|---|---|---|
|
|
PDF of Thesis T16410 | 2022-11-30 | Public | Download |