Well-defined graph-theoretic paradoxes
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Author
Evtushenko, Anna
Abstract
Some network phenomena, like the small-world property, are applicable only for certain types of networks, e.g. social networks, and often need to be confirmed empirically. The Friendship Paradox, despite its name, works for all graphs regardless of domain and nature. This dissertation introduces a comprehensive generalization of the Friendship Paradox to edge weights and numerical node attributes and also introduces the Homophily Paradox, which is conceptually similar to the Friendship Paradox, but is also qualitatively different and hasn't been studied before.
Description
159 pages
Date Issued
2024-08
Keywords
Committee Chair
Kleinberg, Jon
Committee Member
Hobbs, William
Macy, Michael
Degree Discipline
Information Science
Degree Name
Ph. D., Information Science
Degree Level
Doctor of Philosophy
Type
dissertation or thesis
Link(s) to Catalog Record