Date Thesis Awarded

4-2016

Access Type

Honors Thesis -- Access Restricted On-Campus Only

Degree Name

Bachelors of Science (BS)

Department

Mathematics

Advisor

Leah B. Shaw

Committee Members

Ross J. Iaci

Rex K. Kincaid

Anke van Zuylen

Abstract

Scale-free networks grown via preferential attachment have been used to model real-world networks such as the Internet, citation networks, and social networks. Here we investigate signed scale-free networks where a link represents a positive or negative connection. We present analytic results and simulations for a growing signed network model and compare the signed network to an unsigned scale-free network. We discuss several options for preferential attachment in a signed network model. Lastly we measure preferential attachment in a real-world network and discuss the advantages and disadvantages of data fitting methods.

Recommended Citation

Dech, Corynne Smith, "Growing Networks with Positive and Negative Links" (2016). Undergraduate Honors Theses. William & Mary. Paper 922.
https://scholarworks.wm.edu/honorstheses/922