Paper/Poster Title
Sponsor
Mihai Caragiu, PhD
Ohio Northern University
Mathematics, Science, Technology, and Mathematics
m-caragiu@onu.edu
Advisor(s)
Mihai Caragiu, PhD
Ohio Northern University
Mathematics, Science, Technology, and Mathematics
m-caragiu@onu.edu
Document Type
Video
Start Date
23-4-2021 9:00 AM
Abstract
The characteristic polynomial is one of the most important invariants of a graph, with applications in everything from molecular chemistry to electrical engineering. However, despite its simple geometric structure, nobody has ever found a formula for the characteristic polynomial of the square grid graph. This presentation seeks to take a closer look into the matter to see if there are any patterns in the functions and if, in fact, a general formula can even be defined.
Award
First place recipient for the School of Science, Technology and Mathematics Choice Award
Recommended Citation
Kemats, Aaron X., "On the Characteristic Polynomial of the Square Grid Graph" (2021). ONU Student Research Colloquium. 16.
https://digitalcommons.onu.edu/student_research_colloquium/2021/papers/16
Open Access
Available to all.
On the Characteristic Polynomial of the Square Grid Graph
The characteristic polynomial is one of the most important invariants of a graph, with applications in everything from molecular chemistry to electrical engineering. However, despite its simple geometric structure, nobody has ever found a formula for the characteristic polynomial of the square grid graph. This presentation seeks to take a closer look into the matter to see if there are any patterns in the functions and if, in fact, a general formula can even be defined.
Notes
This presentation is part of the Honors Capstone Enhancement Presentation series.