College
Buchtel College of Arts and Sciences
Date of Last Revision
2023-05-05 11:41:25
Major
Applied Mathematics
Honors Course
3450 589 T: Mathematics (T: BS/MS Projects)
Number of Credits
3
Degree Name
Bachelor of Science
Date of Expected Graduation
Fall 2021
Abstract
In order for an electrical network to be printed on a flat surface without changing the network’s input or output, it is important to consider if any wires will cross and if this problem can be avoided. If a circular network can be printed so that no wires cross, the network is said to be circular planar. In this paper, we identify a number of wiring patterns that make circular planarity impossible. We find exactly 3 wiring patterns using circular pairs with sets of two nodes, and we find exactly 78 wiring patterns using circular pairs with sets of three nodes.
Research Sponsor
Dr. Stefan Forcey
First Reader
Dr. James Cossey
Second Reader
Dr. Hung Nguyen
Honors Faculty Advisor
Dr. Curtis Clemons
Recommended Citation
Lebo, Hannah, "Obstructive Wiring Patterns to Circular Planarity in Electrical Networks" (2021). Williams Honors College, Honors Research Projects. 1444.
https://ideaexchange.uakron.edu/honors_research_projects/1444
Included in
Algebra Commons, Electrical and Electronics Commons, Other Applied Mathematics Commons, Other Mathematics Commons