Publication Date
5-2020
Date of Final Oral Examination (Defense)
3-6-2020
Type of Culminating Activity
Thesis
Degree Title
Master of Science in Mathematics
Department
Mathematics
Major Advisor
Jens Harlander, Ph.D.
Advisor
Uwe Kaiser, Ph.D.
Advisor
Zachariah Teitler, Ph.D.
Abstract
Let Γ be a directed graph. The directed forest complex, DF(Γ), is a simplicial complex whose vertices are the edges of Γ and whose simplices are sets of edges that form a directed forest in Γ. We study the directed forest complex of Cayley graphs of finite groups. The homology of DF(Γ) contains information about the graph, Γ and about the group, G. The ultimate goal is to classify DF(Γ) up to homotopy, compute its homology, and interpret the findings in terms of properties of DF(Γ). In this thesis, we present progress made toward this goal.
DOI
10.18122/td/1684/boisestate
Recommended Citation
Courtney, Kennedy, "The Directed Forest Complex of Cayley Graphs" (2020). Boise State University Theses and Dissertations. 1684.
10.18122/td/1684/boisestate