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 are illustrated with computational experiments, and directions for future work are discussed.
Advisor / supervisor
  • Akartunah, Kerem
  • Higham, Des
Resource Type
DOI

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