Date Thesis Awarded

4-2016

Document Type

Honors Thesis

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.

Creative Commons License

Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 3.0 License.

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