Sponsor
Portland State University. Department of Mathematics and Statistics
First Advisor
J.J. Peter Veerman
Term of Graduation
Summer 2024
Date of Publication
9-9-2024
Document Type
Dissertation
Degree Name
Doctor of Philosophy (Ph.D.) in Mathematical Sciences
Department
Mathematics and Statistics
Language
English
Physical Description
1 online resource (viii, 136 pages)
Abstract
Given a connected topolgical space X, we say that L ⊆ X is a minimal separating set if removing L from X gives a disconnected surface, butremoving any proper subset of L leaves the surface connected. We classify which embeddings of topological graphs are minimal separating in an orientable surface X with genus g, and construct a computer program to compute the number of such embeddings, and the number of topological graphs which admit such an embedding for g ≤ 5.
Rights
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Persistent Identifier
https://archives.pdx.edu/ds/psu/42536
Recommended Citation
Aagaard, Christopher Nelson, "Minimal Separating Sets in Surfaces" (2024). Dissertations and Theses. Paper 6703.