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McNair Scholars Program

Jasmine Hunt

she/her

Education: Bachelor of Science in computer science and mathematics (May 2021)

Currently pursuing a Doctor of Philosophy in mathematics (applied mathematics track) at Ohio State University

McNair Project: Mathematics Behind Electrical Networks (2020)

Mentor: Pietro Poggi-Corradini, Ph.D.

Mathematics has been used to simplify networks in chemistry, biology, engineering, etc. Specifically, mathematicians have used graph theory to translate these networks into visual models. Since the early 1700s, graph theory has been used to find solutions for real-world problems by forming them into graphs. A graph, in this context, is defined as G = (V, E), where V represents the vertices and E represents the edges. The edges are used to represent connections between the vertices within the graph. The versatility within these connections allows mathematicians to easily represent networks through graphs. Furthermore, the models produced in graph theory can provide a deeper understanding of the system and can be utilized to find new patterns in the system. This paper seeks to explain specific concepts within electrical networks by converting these networks, and the information provided within them, into graphs.