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.

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Persistent Identifier

https://archives.pdx.edu/ds/psu/42536

Included in

Mathematics Commons

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